{"id":142,"date":"2022-04-13T08:27:52","date_gmt":"2022-04-13T08:27:52","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=142"},"modified":"2025-10-24T11:15:08","modified_gmt":"2025-10-24T11:15:08","slug":"h-9-review-properties-of-quadrilaterals","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/h-9-review-properties-of-quadrilaterals\/","title":{"rendered":"H.9 Review: properties of quadrilaterals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Review: properties of quadrilaterals<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-0b7c76880a66787baa56e2714ae28a2d\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-a73dd8385a825caadaae8ffd2160bd12\" style=\"color:#000060\">\ud83d\udd39 <strong>Quadrilaterals \u2013 Overview<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>quadrilateral<\/strong> is a polygon with <strong>4 sides<\/strong> and <strong>4 angles<\/strong>. \ud83d\udfe6<\/li>\n\n\n\n<li>Sum of interior angles: <strong>360\u00b0<\/strong> \u2795<\/li>\n\n\n\n<li>Can be <strong>convex<\/strong> (all angles &lt; 180\u00b0) or <strong>concave<\/strong> (one angle &gt; 180\u00b0). \ud83d\udd3a<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-d32d1b8289421651b7f2f86f742b30c4\" style=\"color:#000060\">\ud83d\udd39 <strong>Types of Quadrilaterals &amp; Properties<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 <strong>Square<\/strong> \u2b1c<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All sides <strong>equal<\/strong> \u2796<\/li>\n\n\n\n<li>All angles <strong>90\u00b0<\/strong> \u2795<\/li>\n\n\n\n<li>Opposite sides are <strong>parallel<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Diagonals are <strong>equal &amp; bisect at 90\u00b0<\/strong> \u2716\ufe0f<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">2\ufe0f\u20e3 <strong>Rectangle<\/strong> \u25ad<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Opposite sides <strong>equal &amp; parallel<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>All angles <strong>90\u00b0<\/strong> \u2795<\/li>\n\n\n\n<li>Diagonals are <strong>equal<\/strong> but <strong>do not bisect at 90\u00b0<\/strong> \u2716\ufe0f<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">3\ufe0f\u20e3 <strong>Rhombus<\/strong> \u2666\ufe0f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All sides <strong>equal<\/strong> \u2796<\/li>\n\n\n\n<li>Opposite angles are <strong>equal<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Diagonals <strong>bisect each other at 90\u00b0<\/strong> \u2716\ufe0f<\/li>\n\n\n\n<li>Diagonals <strong>not equal<\/strong> \u274c<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">4\ufe0f\u20e3 <strong>Parallelogram<\/strong> \u25b1<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Opposite sides <strong>equal &amp; parallel<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Opposite angles are <strong>equal<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Diagonals <strong>bisect each other<\/strong> but <strong>not necessarily equal<\/strong> \u2716\ufe0f<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">5\ufe0f\u20e3 <strong>Trapezium \/ Trapezoid<\/strong> \ud83d\udd3a<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Only <strong>one pair of opposite sides parallel<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Non-parallel sides are <strong>called legs<\/strong><\/li>\n\n\n\n<li>Angles adjacent to the same leg are <strong>supplementary<\/strong> \u2795<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">6\ufe0f\u20e3 <strong>Kite<\/strong> \ud83e\ude81<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Two pairs of <strong>adjacent sides equal<\/strong> \u2796<\/li>\n\n\n\n<li>One pair of <strong>opposite angles equal<\/strong> \u2194\ufe0f<\/li>\n\n\n\n<li>Diagonals <strong>perpendicular<\/strong> \u2716\ufe0f<\/li>\n\n\n\n<li>One diagonal <strong>bisects the other<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-75f691f3a3e438b621203ac60083f6fa\" style=\"color:#000060\">\ud83d\udd39 <strong>Quick Tips<\/strong> \ud83d\udca1<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Diagonals:<\/strong> Check if they are <strong>equal<\/strong> or <strong>perpendicular<\/strong>. \u2716\ufe0f<\/li>\n\n\n\n<li><strong>Angles:<\/strong> Check if all <strong>90\u00b0<\/strong> or <strong>opposite angles equal<\/strong>. \ud83d\udd04<\/li>\n\n\n\n<li><strong>Sides:<\/strong> Look for <strong>equal sides<\/strong> or <strong>parallel sides<\/strong> \u2194\ufe0f<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d4fade\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\"><strong>Is parallelogram GHIJ a rhombus?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-4-3.png\" alt=\"\" class=\"wp-image-8639\" style=\"width:300px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-4-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-4-3-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-4-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Since \u2220GHJ \u2245 \u2220GJH \u2245 \u2220HJI \u2245 \u2220IHJ, HJ bisects \u2220GHI and \u2220GJI.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__4_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-8640\" style=\"aspect-ratio:1;width:318px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__4_-removebg-preview-2.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__4_-removebg-preview-2-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__4_-removebg-preview-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So, GHIJ is a rhombus.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fcfad9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Is parallelogram DEFG a rhombus?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-5-2.png\" alt=\"\" class=\"wp-image-8642\" style=\"width:298px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-5-2.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-5-2-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph-the-square-with-vertices-\u2013-49-94-4-\u2013-9-and-\u2013-9-\u2013-4.-5-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Since \u2220EG F= \u2220DEG = 46\u00b0 and \u2220DGE = \u2220FEG = 48\u00b0, EG does not bisect \u2220DGF and \u2220DEF.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__5_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-8644\" style=\"aspect-ratio:1;width:300px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__5_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__5_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Graph_the_square_with_vertices_____4_9____9_4____4____9__and_____9____4_.__5_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So, DEFG is not a rhombus.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fcdcf3\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Is parallelogram WXYZ a rhombus?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-19.png\" alt=\"\" class=\"wp-image-8645\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-19.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-19-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Since \u2220YVZ = 88\u00b0, WY and XZ are not perpendicular.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-8.png\" alt=\"\" class=\"wp-image-8646\" style=\"aspect-ratio:3.35;width:580px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-8.png 670w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-8-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>So, WXYZ is not a rhombus.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/85124\/963\/961\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-44.png\" alt=\"\" class=\"wp-image-7808\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-44.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-44-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-44-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/85382\/020\/315\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-53.png\" alt=\"\" class=\"wp-image-7809\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-53.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-53-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-53-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Review: properties of quadrilaterals key notes : \ud83d\udd39 Quadrilaterals \u2013 Overview \ud83d\udd39 Types of Quadrilaterals &amp; Properties 1\ufe0f\u20e3 Square \u2b1c 2\ufe0f\u20e3 Rectangle \u25ad 3\ufe0f\u20e3 Rhombus \u2666\ufe0f 4\ufe0f\u20e3 Parallelogram \u25b1 5\ufe0f\u20e3 Trapezium \/ Trapezoid \ud83d\udd3a 6\ufe0f\u20e3 Kite \ud83e\ude81 \ud83d\udd39 Quick Tips \ud83d\udca1 Learn with an example Is parallelogram GHIJ a rhombus? Since \u2220GHJ \u2245 \u2220GJH \u2245<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/h-9-review-properties-of-quadrilaterals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.9 Review: properties of quadrilaterals&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-142","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/142","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=142"}],"version-history":[{"count":28,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/142\/revisions"}],"predecessor-version":[{"id":18149,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/142\/revisions\/18149"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}