{"id":33055,"date":"2021-10-18T10:30:35","date_gmt":"2021-10-18T05:00:35","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=33055"},"modified":"2021-10-19T15:47:35","modified_gmt":"2021-10-19T10:17:35","slug":"important-questions-for-class-9-mathematics-chapter-8-quadrilaterals","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/important-questions-for-class-9-mathematics-chapter-8-quadrilaterals\/","title":{"rendered":"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\">Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals<\/span><\/h2>\n<p><strong>Quadrilateral Class 9 Extra Questions CBSE The topics and sub-topics in Class 9 Maths Chapter 8 Quadrilaterals:<\/strong><\/p>\n<ul>\n<li>Quadrilaterals<\/li>\n<li>Introduction<\/li>\n<li>Angle Sum Property Of A Quadrilateral<\/li>\n<li>Types Of Quadrilaterals<\/li>\n<li>Properties Of A Parallelogram<\/li>\n<li>Another Condition For A Quadrilateral To Be A Parallelogram<\/li>\n<li>The MidPoint Theorem<\/li>\n<li>Summary<\/li>\n<\/ul>\n<h3 style=\"text-align: center;\"><span style=\"color: #0000ff;\"><strong>IMPORTANT QUESTIONS<\/strong><\/span><\/h3>\n<p><strong><span style=\"color: #0000ff;\">VERY SHORT ANSWER TYPE QUESTIONS<\/span><\/strong><br \/>\n<strong>Class 9 Quadrilaterals Extra Questions CBSE Question.1 Three angles of a quadrilateral are equal and the fourth angle is equal to 144\u00b0. Find each of the equal angles of the quadrilateral.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159600\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-1.png?resize=617%2C236&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 1\" width=\"617\" height=\"236\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-1.png?w=617&amp;ssl=1 617w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-1.png?resize=300%2C115&amp;ssl=1 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Questions On Quadrilaterals For Class 9 CBSE Question.2 Two consecutive angles of a parallelogram are (x + 60)\u00b0 and (2x + 30)\u00b0. What special name can you give to this parallelogram ?<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159601\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-2.png?resize=744%2C243&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 2\" width=\"744\" height=\"243\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-2.png?w=744&amp;ssl=1 744w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-2.png?resize=300%2C98&amp;ssl=1 300w\" sizes=\"(max-width: 744px) 100vw, 744px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Extra Questions For Class 9 Maths Quadrilaterals With Solutions More Resources for CBSE Class 9<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-2\/\">NCERT Solutions<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths\/\">NCERT Solutions Class 9 Maths<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-9-science\/\">NCERT Solutions Class 9 Science <\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-social-science\/\">NCERT Solutions Class 9 Social Science<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-9-english\/\">NCERT Solutions Class 9 English<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-9-hindi\/\">NCERT Solutions Class 9 Hindi<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-9th-sanskrit\/\">NCERT Solutions Class 9 Sanskrit<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-class-9-foundation-information-technology\/\">NCERT Solutions Class 9 IT<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/rd-sharma-class-9th-solutions\/\">RD Sharma Class 9 Solutions<\/a><\/li>\n<\/ul>\n<p><strong>Class 9 Maths Quadrilaterals Extra Questions CBSE Question.3 If one angle of a parallelogram is 30\u00b0 less than twice the smallest angle, then find the measure of each angle.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159602\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-3.png?resize=815%2C200&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 3\" width=\"815\" height=\"200\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-3.png?w=815&amp;ssl=1 815w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-3.png?resize=300%2C74&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-3.png?resize=768%2C188&amp;ssl=1 768w\" sizes=\"(max-width: 815px) 100vw, 815px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Quadrilateral Class 9 Worksheet With Answers CBSE Question.4 If one angle of a parallelogram is twice of its adjacent angle, find the angles of the parallelogram. [CBSE-15-6DWMW5A]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159603\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-4.png?resize=844%2C231&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 4\" width=\"844\" height=\"231\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-4.png?w=844&amp;ssl=1 844w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-4.png?resize=300%2C82&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-4.png?resize=768%2C210&amp;ssl=1 768w\" sizes=\"(max-width: 844px) 100vw, 844px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Extra Questions On Quadrilaterals Class 9 CBSE Question.5<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159604\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-5.png?resize=829%2C146&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 5\" width=\"829\" height=\"146\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-5.png?w=829&amp;ssl=1 829w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-5.png?resize=300%2C53&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-5.png?resize=768%2C135&amp;ssl=1 768w\" sizes=\"(max-width: 829px) 100vw, 829px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159605\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-6.png?resize=462%2C197&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 6\" width=\"462\" height=\"197\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-6.png?w=462&amp;ssl=1 462w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-6.png?resize=300%2C128&amp;ssl=1 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Quadrilateral Questions And Answers CBSE Question.6.If the diagonals of a quadrilateral bisect each other at right angles, then name the quadrilateral.<\/strong><br \/>\n<strong> Solution.<\/strong> Rhombus.<\/p>\n<p><strong>Question.7 In quadrilateral PQRS, if \u2220P = 60\u00b0 and \u2220Q : \u2220R : \u2220S = 2:3:7, then find the measure of\u2220S.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159606\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-7.png?resize=350%2C90&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 7\" width=\"350\" height=\"90\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-7.png?w=350&amp;ssl=1 350w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-7.png?resize=300%2C77&amp;ssl=1 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159607\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-8.png?resize=445%2C141&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 8\" width=\"445\" height=\"141\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-8.png?w=445&amp;ssl=1 445w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-8.png?resize=300%2C95&amp;ssl=1 300w\" sizes=\"(max-width: 445px) 100vw, 445px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Quadrilateral Questions And Answers For Class 9 CBSE Question.8 If an angle of a parallelogram is two-third of its adjacent angle, then find the smallest angle of the parallelogram.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159608\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-9.png?resize=832%2C376&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 9\" width=\"832\" height=\"376\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-9.png?w=832&amp;ssl=1 832w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-9.png?resize=300%2C136&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-9.png?resize=768%2C347&amp;ssl=1 768w\" sizes=\"(max-width: 832px) 100vw, 832px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Quadrilateral Class 9 Questions CBSE Question.9 In the given figure, ABCD is a parallelogram. If \u2220B = 100\u00b0, then find the value of \u2220A +\u2220C.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159609\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-10.png?resize=259%2C209&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 10\" width=\"259\" height=\"209\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159610\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-11.png?resize=322%2C205&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 11\" width=\"322\" height=\"205\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-11.png?w=322&amp;ssl=1 322w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-11.png?resize=300%2C191&amp;ssl=1 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Quadrilaterals Class 9 Extra Questions With Solutions CBSE Question.10 If the diagonals of a parallelogram are equal, then state its name.<\/strong><br \/>\n<strong> Solution.<\/strong> Rectangle<\/p>\n<p><strong>Question.11 ONKA is a square with \u2220KON = 45\u00b0. Determine \u2220KOA.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159611\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-12.png?resize=443%2C142&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 12\" width=\"443\" height=\"142\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-12.png?w=443&amp;ssl=1 443w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-12.png?resize=300%2C96&amp;ssl=1 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.12 PQRS is a parallelogram, in which PQ = 12 cm and its perimeter is 40 cm. Find the length of each side of the parallelogram.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159612\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-13.png?resize=831%2C240&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 13\" width=\"831\" height=\"240\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-13.png?w=831&amp;ssl=1 831w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-13.png?resize=300%2C87&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-13.png?resize=768%2C222&amp;ssl=1 768w\" sizes=\"(max-width: 831px) 100vw, 831px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.13<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159613\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-14.png?resize=833%2C155&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 14\" width=\"833\" height=\"155\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-14.png?w=833&amp;ssl=1 833w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-14.png?resize=300%2C56&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-14.png?resize=768%2C143&amp;ssl=1 768w\" sizes=\"(max-width: 833px) 100vw, 833px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159614\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-15.png?resize=757%2C217&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 15\" width=\"757\" height=\"217\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-15.png?w=757&amp;ssl=1 757w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-15.png?resize=300%2C86&amp;ssl=1 300w\" sizes=\"(max-width: 757px) 100vw, 757px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.14<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159615\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-16.png?resize=831%2C139&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 16\" width=\"831\" height=\"139\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-16.png?w=831&amp;ssl=1 831w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-16.png?resize=300%2C50&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-16.png?resize=768%2C128&amp;ssl=1 768w\" sizes=\"(max-width: 831px) 100vw, 831px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159616\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-17.png?resize=585%2C252&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 17\" width=\"585\" height=\"252\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-17.png?w=585&amp;ssl=1 585w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-17.png?resize=300%2C129&amp;ssl=1 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question. 15.If ABCD is a parallelogram, then what is the measure of \u2220A &#8211; \u2220C ?<\/strong><br \/>\n<strong> Solution.<\/strong> <strong>\u2220<\/strong>A &#8211;<strong>\u2220<\/strong>C = 0\u00b0 [opposite angles of parallelogram are equal]<\/p>\n<p><span style=\"color: #0000ff;\"><strong>SHORT ANSWER QUESTIONS TYPE-I<\/strong><\/span><br \/>\n<strong>Question.16 Prove that a diagonal of a parallelogram divide it into two congruent triangles.\u00a0<\/strong><strong>[CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong> <strong>Given :<\/strong> A parallelogram ABCD and AC is its diagonal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159617\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-18.png?resize=840%2C215&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 18\" width=\"840\" height=\"215\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-18.png?w=840&amp;ssl=1 840w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-18.png?resize=300%2C77&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-18.png?resize=768%2C197&amp;ssl=1 768w\" sizes=\"(max-width: 840px) 100vw, 840px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.17 ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and\u00a0<\/strong><strong>C on diagonal BD (see fig.). Show that :<\/strong><br \/>\n<strong> (i) AAPB \u2245 ACQD (ii) AP = CQ \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0[CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159618\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-19.png?resize=830%2C314&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 19\" width=\"830\" height=\"314\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-19.png?w=830&amp;ssl=1 830w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-19.png?resize=300%2C113&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-19.png?resize=768%2C291&amp;ssl=1 768w\" sizes=\"(max-width: 830px) 100vw, 830px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.18<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159619\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-20.png?resize=833%2C148&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 20\" width=\"833\" height=\"148\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-20.png?w=833&amp;ssl=1 833w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-20.png?resize=300%2C53&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-20.png?resize=768%2C136&amp;ssl=1 768w\" sizes=\"(max-width: 833px) 100vw, 833px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159620\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-21.png?resize=839%2C341&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 21\" width=\"839\" height=\"341\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-21.png?w=839&amp;ssl=1 839w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-21.png?resize=300%2C122&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-21.png?resize=768%2C312&amp;ssl=1 768w\" sizes=\"(max-width: 839px) 100vw, 839px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.19<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159621\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-22.png?resize=820%2C153&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 22\" width=\"820\" height=\"153\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-22.png?w=820&amp;ssl=1 820w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-22.png?resize=300%2C56&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-22.png?resize=768%2C143&amp;ssl=1 768w\" sizes=\"(max-width: 820px) 100vw, 820px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159622\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-23.png?resize=553%2C188&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 23\" width=\"553\" height=\"188\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-23.png?w=553&amp;ssl=1 553w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-23.png?resize=300%2C102&amp;ssl=1 300w\" sizes=\"(max-width: 553px) 100vw, 553px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.20<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159623\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-24.png?resize=801%2C155&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 24\" width=\"801\" height=\"155\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-24.png?w=801&amp;ssl=1 801w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-24.png?resize=300%2C58&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-24.png?resize=768%2C149&amp;ssl=1 768w\" sizes=\"(max-width: 801px) 100vw, 801px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159624\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-25.png?resize=701%2C318&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 25\" width=\"701\" height=\"318\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-25.png?w=701&amp;ssl=1 701w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-25.png?resize=300%2C136&amp;ssl=1 300w\" sizes=\"(max-width: 701px) 100vw, 701px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.21 If the diagonals of a parallelogram are equal, then show that it is a rectangle.\u00a0[CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159625\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-26.png?resize=829%2C280&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 26\" width=\"829\" height=\"280\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-26.png?w=829&amp;ssl=1 829w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-26.png?resize=300%2C101&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-26.png?resize=768%2C259&amp;ssl=1 768w\" sizes=\"(max-width: 829px) 100vw, 829px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159626\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-27.png?resize=397%2C107&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 27\" width=\"397\" height=\"107\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-27.png?w=397&amp;ssl=1 397w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-27.png?resize=300%2C81&amp;ssl=1 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.22 ABCD is a parallelogram and line segments AX, CY bisect the angles A and C, respectively. Show that AX<em>\\\\<\/em>CY. D x c<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159627\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-28.png?resize=843%2C410&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 28\" width=\"843\" height=\"410\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-28.png?w=843&amp;ssl=1 843w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-28.png?resize=300%2C146&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-28.png?resize=768%2C374&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>SHORT ANSWER QUESTIONS TYPE-II<\/strong><\/span><br \/>\n<strong>Question.23<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159628\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-29.png?resize=832%2C191&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 29\" width=\"832\" height=\"191\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-29.png?w=832&amp;ssl=1 832w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-29.png?resize=300%2C69&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-29.png?resize=768%2C176&amp;ssl=1 768w\" sizes=\"(max-width: 832px) 100vw, 832px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution<\/strong>.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159629\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-30.png?resize=820%2C352&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 30\" width=\"820\" height=\"352\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-30.png?w=820&amp;ssl=1 820w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-30.png?resize=300%2C129&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-30.png?resize=768%2C330&amp;ssl=1 768w\" sizes=\"(max-width: 820px) 100vw, 820px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159630\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-31.png?resize=677%2C370&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 31\" width=\"677\" height=\"370\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-31.png?w=677&amp;ssl=1 677w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-31.png?resize=300%2C164&amp;ssl=1 300w\" sizes=\"(max-width: 677px) 100vw, 677px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.24 ABCD is a quadrilateral in which the bisectors of \u2220A and\u00a0\u2220C meet DC produced at Y and BA produced at X respectively. Prove that : [CBSE-15-6DWMW5A]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159631\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-32.png?resize=839%2C339&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 32\" width=\"839\" height=\"339\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-32.png?w=839&amp;ssl=1 839w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-32.png?resize=300%2C121&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-32.png?resize=768%2C310&amp;ssl=1 768w\" sizes=\"(max-width: 839px) 100vw, 839px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159633\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-33.png?resize=711%2C325&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 33\" width=\"711\" height=\"325\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-33.png?w=711&amp;ssl=1 711w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-33.png?resize=300%2C137&amp;ssl=1 300w\" sizes=\"(max-width: 711px) 100vw, 711px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.25 In a parallelogram, show that the angle bisectors of two adjacent angles intersect at right angles. [CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159634\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-34.png?resize=844%2C539&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 34\" width=\"844\" height=\"539\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-34.png?w=844&amp;ssl=1 844w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-34.png?resize=300%2C192&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-34.png?resize=768%2C490&amp;ssl=1 768w\" sizes=\"(max-width: 844px) 100vw, 844px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.26 D, E and F are respectively the mid-points of the sides AB, BC and CA of a triangle ABC. Prove that by joining these mid-points D, E and F, the triangles ABC is divided into four congruent triangles. [NCERT Exemplar Problem]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159635\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-35.png?resize=844%2C473&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 35\" width=\"844\" height=\"473\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-35.png?w=844&amp;ssl=1 844w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-35.png?resize=300%2C168&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-35.png?resize=768%2C430&amp;ssl=1 768w\" sizes=\"(max-width: 844px) 100vw, 844px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.27<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159636\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-36.png?resize=839%2C134&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 36\" width=\"839\" height=\"134\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-36.png?w=839&amp;ssl=1 839w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-36.png?resize=300%2C48&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-36.png?resize=768%2C123&amp;ssl=1 768w\" sizes=\"(max-width: 839px) 100vw, 839px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159637\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-37.png?resize=840%2C256&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 37\" width=\"840\" height=\"256\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-37.png?w=840&amp;ssl=1 840w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-37.png?resize=300%2C91&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-37.png?resize=768%2C234&amp;ssl=1 768w\" sizes=\"(max-width: 840px) 100vw, 840px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.28<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159638\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-38.png?resize=835%2C166&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 38\" width=\"835\" height=\"166\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-38.png?w=835&amp;ssl=1 835w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-38.png?resize=300%2C60&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-38.png?resize=768%2C153&amp;ssl=1 768w\" sizes=\"(max-width: 835px) 100vw, 835px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159639\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-39.png?resize=843%2C359&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 39\" width=\"843\" height=\"359\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-39.png?w=843&amp;ssl=1 843w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-39.png?resize=300%2C128&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-39.png?resize=768%2C327&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.29<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159640\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-40.png?resize=838%2C203&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 40\" width=\"838\" height=\"203\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-40.png?w=838&amp;ssl=1 838w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-40.png?resize=300%2C73&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-40.png?resize=768%2C186&amp;ssl=1 768w\" sizes=\"(max-width: 838px) 100vw, 838px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong> Since line segment joining the mid-points of two sides of a triangle is half of the third side. Therefore, D and E are mid-points of BC and AC respectively.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159641\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-41.png?resize=572%2C397&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 41\" width=\"572\" height=\"397\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-41.png?w=572&amp;ssl=1 572w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-41.png?resize=300%2C208&amp;ssl=1 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong><span style=\"color: #0000ff;\">LONG ANSWER TYPE QUESTIONS<\/span><\/strong><br \/>\n<strong>Question.30 ABC is a triangle right-angled at C. A line through the mid-point M of hypotenuse AB parallel to BC intersects AC ad D. Show that:<\/strong><br \/>\n<strong> (i) D is the mid-point of AC<\/strong><br \/>\n<strong> (ii) MD \u22a5 AC<\/strong><br \/>\n<strong> (iii) CM = MA = 1\/2 AB. [CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159642\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-42.png?resize=835%2C512&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 42\" width=\"835\" height=\"512\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-42.png?w=835&amp;ssl=1 835w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-42.png?resize=300%2C184&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-42.png?resize=768%2C471&amp;ssl=1 768w\" sizes=\"(max-width: 835px) 100vw, 835px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159643\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-43.png?resize=624%2C217&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 43\" width=\"624\" height=\"217\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-43.png?w=624&amp;ssl=1 624w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-43.png?resize=300%2C104&amp;ssl=1 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.31<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159644\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-44.png?resize=788%2C240&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 44\" width=\"788\" height=\"240\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-44.png?w=788&amp;ssl=1 788w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-44.png?resize=300%2C91&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-44.png?resize=768%2C234&amp;ssl=1 768w\" sizes=\"(max-width: 788px) 100vw, 788px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159645\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-45.png?resize=843%2C516&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 45\" width=\"843\" height=\"516\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-45.png?w=843&amp;ssl=1 843w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-45.png?resize=300%2C184&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-45.png?resize=768%2C470&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.32 The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and equal to half of it.<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159646\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-46.png?resize=818%2C168&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 46\" width=\"818\" height=\"168\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-46.png?w=818&amp;ssl=1 818w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-46.png?resize=300%2C62&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-46.png?resize=768%2C158&amp;ssl=1 768w\" sizes=\"(max-width: 818px) 100vw, 818px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159647\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-47.png?resize=690%2C545&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 47\" width=\"690\" height=\"545\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-47.png?w=690&amp;ssl=1 690w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-47.png?resize=300%2C237&amp;ssl=1 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.33<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159648\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-48.png?resize=837%2C197&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 48\" width=\"837\" height=\"197\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-48.png?w=837&amp;ssl=1 837w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-48.png?resize=300%2C71&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-48.png?resize=768%2C181&amp;ssl=1 768w\" sizes=\"(max-width: 837px) 100vw, 837px\" data-recalc-dims=\"1\" \/><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159649\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-49.png?resize=664%2C291&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 49\" width=\"664\" height=\"291\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-49.png?w=664&amp;ssl=1 664w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-49.png?resize=300%2C131&amp;ssl=1 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.34<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159650\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-50.png?resize=827%2C165&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 50\" width=\"827\" height=\"165\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-50.png?w=827&amp;ssl=1 827w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-50.png?resize=300%2C60&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-50.png?resize=768%2C153&amp;ssl=1 768w\" sizes=\"(max-width: 827px) 100vw, 827px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159651\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-51.png?resize=847%2C559&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 51\" width=\"847\" height=\"559\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-51.png?w=847&amp;ssl=1 847w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-51.png?resize=300%2C198&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-51.png?resize=768%2C507&amp;ssl=1 768w\" sizes=\"(max-width: 847px) 100vw, 847px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159652\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-52.png?resize=845%2C440&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 52\" width=\"845\" height=\"440\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-52.png?w=845&amp;ssl=1 845w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-52.png?resize=300%2C156&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-52.png?resize=768%2C400&amp;ssl=1 768w\" sizes=\"(max-width: 845px) 100vw, 845px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159653\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-53.png?resize=836%2C133&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 53\" width=\"836\" height=\"133\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-53.png?w=836&amp;ssl=1 836w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-53.png?resize=300%2C48&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-53.png?resize=768%2C122&amp;ssl=1 768w\" sizes=\"(max-width: 836px) 100vw, 836px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.35 ABC is a triangle right-angled at C. A line through the mid-point M of hypotenuse AB parallel to BC intersects AC at D. Show that:<\/strong><br \/>\n<strong> (i) D is the mid-point of AC<\/strong><br \/>\n<strong> (ii) MD\u22a5 AC<\/strong><br \/>\n<strong> (iii) CM = MA =1\/2\u00a0AB. [CBSE March 2012]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159654\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-54.png?resize=726%2C547&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 54\" width=\"726\" height=\"547\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-54.png?w=726&amp;ssl=1 726w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-54.png?resize=300%2C226&amp;ssl=1 300w\" sizes=\"(max-width: 726px) 100vw, 726px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.36<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159655\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-55.png?resize=838%2C149&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 55\" width=\"838\" height=\"149\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-55.png?w=838&amp;ssl=1 838w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-55.png?resize=300%2C53&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-55.png?resize=768%2C137&amp;ssl=1 768w\" sizes=\"(max-width: 838px) 100vw, 838px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159656\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-56.png?resize=841%2C68&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 56\" width=\"841\" height=\"68\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-56.png?w=841&amp;ssl=1 841w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-56.png?resize=300%2C24&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-56.png?resize=768%2C62&amp;ssl=1 768w\" sizes=\"(max-width: 841px) 100vw, 841px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159657\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-57.png?resize=839%2C266&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 57\" width=\"839\" height=\"266\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-57.png?w=839&amp;ssl=1 839w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-57.png?resize=300%2C95&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-57.png?resize=768%2C243&amp;ssl=1 768w\" sizes=\"(max-width: 839px) 100vw, 839px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.37 ABCD is a rhombus. Show that diagonals AC bisects \u2220A as well as \u2220C and diagonal BD bisects\u2220B as well as \u2220D<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159658\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-58.png?resize=843%2C336&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 58\" width=\"843\" height=\"336\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-58.png?w=843&amp;ssl=1 843w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-58.png?resize=300%2C120&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-58.png?resize=768%2C306&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.38<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159659\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-59.png?resize=797%2C209&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 59\" width=\"797\" height=\"209\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-59.png?w=797&amp;ssl=1 797w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-59.png?resize=300%2C79&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-59.png?resize=768%2C201&amp;ssl=1 768w\" sizes=\"(max-width: 797px) 100vw, 797px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159660\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-60.png?resize=840%2C313&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 60\" width=\"840\" height=\"313\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-60.png?w=840&amp;ssl=1 840w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-60.png?resize=300%2C112&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-60.png?resize=768%2C286&amp;ssl=1 768w\" sizes=\"(max-width: 840px) 100vw, 840px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159661\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-61.png?resize=854%2C325&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 61\" width=\"854\" height=\"325\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-61.png?w=854&amp;ssl=1 854w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-61.png?resize=300%2C114&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-61.png?resize=768%2C292&amp;ssl=1 768w\" sizes=\"(max-width: 854px) 100vw, 854px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.39<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159662\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-62.png?resize=843%2C238&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 62\" width=\"843\" height=\"238\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-62.png?w=843&amp;ssl=1 843w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-62.png?resize=300%2C85&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-62.png?resize=768%2C217&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.\u00a0<\/strong>Here, in AABC, R and Q are the mid-points of AB and AC respectively.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159663\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-63.png?resize=845%2C613&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 63\" width=\"845\" height=\"613\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-63.png?w=845&amp;ssl=1 845w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-63.png?resize=300%2C218&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-63.png?resize=768%2C557&amp;ssl=1 768w\" sizes=\"(max-width: 845px) 100vw, 845px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.40<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159664\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-64.png?resize=775%2C200&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 64\" width=\"775\" height=\"200\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-64.png?w=775&amp;ssl=1 775w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-64.png?resize=300%2C77&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-64.png?resize=768%2C198&amp;ssl=1 768w\" sizes=\"(max-width: 775px) 100vw, 775px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159665\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-65.png?resize=835%2C510&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 65\" width=\"835\" height=\"510\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-65.png?w=835&amp;ssl=1 835w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-65.png?resize=300%2C183&amp;ssl=1 300w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-65.png?resize=768%2C469&amp;ssl=1 768w\" sizes=\"(max-width: 835px) 100vw, 835px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.41<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159666\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-66.png?resize=810%2C198&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 66\" width=\"810\" height=\"198\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-66.png?w=810&amp;ssl=1 810w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-66.png?resize=300%2C73&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-66.png?resize=768%2C188&amp;ssl=1 768w\" sizes=\"(max-width: 810px) 100vw, 810px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159667\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-67.png?resize=590%2C273&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 67\" width=\"590\" height=\"273\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-67.png?w=590&amp;ssl=1 590w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-67.png?resize=300%2C139&amp;ssl=1 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159668\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-68.png?resize=828%2C118&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 68\" width=\"828\" height=\"118\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-68.png?w=828&amp;ssl=1 828w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-68.png?resize=300%2C43&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-68.png?resize=768%2C109&amp;ssl=1 768w\" sizes=\"(max-width: 828px) 100vw, 828px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question. 42 ABCD is a parallelogram in which diagonal AC bisects\u2220A as well as \u2220C. Show that ABCD is a rhombus. [CBSE-14-17DIG1U]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159669\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-69.png?resize=830%2C495&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 69\" width=\"830\" height=\"495\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-69.png?w=830&amp;ssl=1 830w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-69.png?resize=300%2C179&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-69.png?resize=768%2C458&amp;ssl=1 768w\" sizes=\"(max-width: 830px) 100vw, 830px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question. 43<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159670\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-70.png?resize=843%2C196&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 70\" width=\"843\" height=\"196\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-70.png?w=843&amp;ssl=1 843w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-70.png?resize=300%2C70&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-70.png?resize=768%2C179&amp;ssl=1 768w\" sizes=\"(max-width: 843px) 100vw, 843px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159671\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-71.png?resize=700%2C271&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 71\" width=\"700\" height=\"271\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-71.png?w=700&amp;ssl=1 700w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-71.png?resize=300%2C116&amp;ssl=1 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159672\" src=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-72.png?resize=699%2C214&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 72\" width=\"699\" height=\"214\" srcset=\"https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-72.png?w=699&amp;ssl=1 699w, https:\/\/i1.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-72.png?resize=300%2C92&amp;ssl=1 300w\" sizes=\"(max-width: 699px) 100vw, 699px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.44 ABCD is a parallelogram. If the bisectors DP and CP of angles D and C meet at P on side AB, then show that P is the mid-point of side AB.\u00a0<\/strong><strong>[CBSE-15-NS72LP7]<\/strong><br \/>\n<strong> Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159673\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-73.png?resize=844%2C551&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 73\" width=\"844\" height=\"551\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-73.png?w=844&amp;ssl=1 844w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-73.png?resize=300%2C196&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-73.png?resize=768%2C501&amp;ssl=1 768w\" sizes=\"(max-width: 844px) 100vw, 844px\" data-recalc-dims=\"1\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Value Based Questions (Solved)<\/strong><\/span><\/p>\n<p><strong>Question.1<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159674\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-74.png?resize=835%2C212&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 74\" width=\"835\" height=\"212\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-74.png?w=835&amp;ssl=1 835w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-74.png?resize=300%2C76&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-74.png?resize=768%2C195&amp;ssl=1 768w\" sizes=\"(max-width: 835px) 100vw, 835px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159675\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-75.png?resize=744%2C432&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 75\" width=\"744\" height=\"432\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-75.png?w=744&amp;ssl=1 744w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-75.png?resize=300%2C174&amp;ssl=1 300w\" sizes=\"(max-width: 744px) 100vw, 744px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.2<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159676\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-76.png?resize=831%2C137&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 76\" width=\"831\" height=\"137\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-76.png?w=831&amp;ssl=1 831w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-76.png?resize=300%2C49&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-76.png?resize=768%2C127&amp;ssl=1 768w\" sizes=\"(max-width: 831px) 100vw, 831px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159677\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-77.png?resize=842%2C327&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 77\" width=\"842\" height=\"327\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-77.png?w=842&amp;ssl=1 842w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-77.png?resize=300%2C117&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-77.png?resize=768%2C298&amp;ssl=1 768w\" sizes=\"(max-width: 842px) 100vw, 842px\" data-recalc-dims=\"1\" \/><\/p>\n<p><strong>Question.3<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159678\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-78.png?resize=825%2C187&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 78\" width=\"825\" height=\"187\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-78.png?w=825&amp;ssl=1 825w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-78.png?resize=300%2C68&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-78.png?resize=768%2C174&amp;ssl=1 768w\" sizes=\"(max-width: 825px) 100vw, 825px\" data-recalc-dims=\"1\" \/><br \/>\n<strong>Solution.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159679\" src=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-79.png?resize=541%2C89&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 79\" width=\"541\" height=\"89\" srcset=\"https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-79.png?w=541&amp;ssl=1 541w, https:\/\/i0.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-79.png?resize=300%2C49&amp;ssl=1 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" data-recalc-dims=\"1\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-159680\" src=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-80.png?resize=835%2C232&#038;ssl=1\" alt=\"Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals 80\" width=\"835\" height=\"232\" srcset=\"https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-80.png?w=835&amp;ssl=1 835w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-80.png?resize=300%2C83&amp;ssl=1 300w, https:\/\/i2.wp.com\/www.cbselabs.com\/wp-content\/uploads\/2021\/10\/Important-Questions-for-Class-9-Mathematics-Chapter-8-Quadrilaterals-80.png?resize=768%2C213&amp;ssl=1 768w\" sizes=\"(max-width: 835px) 100vw, 835px\" data-recalc-dims=\"1\" \/><\/p>\n<div class=\"featured-snippet\">\n<h2>NCERT Solutions for Class 9 Maths<\/h2>\n<ol>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-number-system\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 1 Number systems<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-2-polynomials\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 2 Polynomials<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-3-coordinate-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 3 Coordinate Geometry<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-linear-equations-in-two-variables\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 4 Linear Equations in Two Variables<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-5-introduction-to-euclid-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 5 Introduction to Euclid Geometry<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-6-lines-and-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 6 Lines and Angles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-7-triangles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 7 Triangles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-8-quadrilaterals\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 8 Quadrilaterals<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-areas-of-parallelograms-and-triangles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 9 Areas of Parallelograms and Triangles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-10-circles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 10 Circles<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-11-constructions\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 11 Constructions<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-12-herons-formula\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 12 Heron\u2019s Formula<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-13-surface-areas-and-volumes\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 13 Surface Areas and Volumes<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-14-statistics\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 14 Statistics<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-9-maths-chapter-15-probability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Chapter 15 Probability<\/a><\/li>\n<li><a href=\"https:\/\/www.cbselabs.com\/wp-content\/uploads\/2016\/02\/NCERTSolutionsForClass9Maths.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Class 9 Maths (Download PDF)<\/a><\/li>\n<\/ol>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals Quadrilateral Class 9 Extra Questions CBSE The topics and sub-topics in Class 9 Maths Chapter 8 Quadrilaterals: Quadrilaterals Introduction Angle Sum Property Of A Quadrilateral Types Of Quadrilaterals Properties Of A Parallelogram Another Condition For A Quadrilateral To Be A Parallelogram The MidPoint Theorem Summary IMPORTANT &hellip;<\/p>\n","protected":false},"author":27,"featured_media":159481,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.2 (Yoast SEO v17.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Important Questions for Class 9 Mathematics Chapter 8 Quadrilaterals - CBSE Labs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.cbselabs.com\/important-questions-for-class-9-mathematics-chapter-8-quadrilaterals\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" 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