{"id":130,"date":"2022-04-13T08:26:02","date_gmt":"2022-04-13T08:26:02","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=130"},"modified":"2025-10-31T10:19:56","modified_gmt":"2025-10-31T10:19:56","slug":"h-3-properties-of-parallelograms","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/h-3-properties-of-parallelograms\/","title":{"rendered":"H.3 Properties of parallelograms"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Properties of parallelograms<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAG3WqCBabc\/VHmLX4bkWXo5jJY3iZ-n7A\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAG3WqCBabc&#x2F;VHmLX4bkWXo5jJY3iZ-n7A&#x2F;watch?utm_content=DAG3WqCBabc&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Design<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-a0de7b1e76ad5e630ea220a24a17d4ea\" style=\"color:#000060\">\ud83e\udded <strong>Definition<\/strong><\/h3>\n\n\n\n<p>A <strong>parallelogram<\/strong> is a <strong>quadrilateral<\/strong> (four-sided figure) where <strong>both pairs of opposite sides are parallel<\/strong>.<br>\u27a1\ufe0f Example: Rectangle, Rhombus, Square are all types of parallelograms.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-f2170a68d382c2a69ca672b51d9e5524\" style=\"color:#000060\">\ud83d\udccf <strong>Opposite Sides are Equal<\/strong><\/h3>\n\n\n\n<p>\ud83d\udc49 In a parallelogram, the <strong>opposite sides have the same length<\/strong>.<br>\ud83d\udff0 AB = CD and AD = BC<\/p>\n\n\n\n<p>\u2728 <em>This property helps in proving sides equal in geometry problems.<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-a596108dd2cb5723fa49f5b3be8369af\" style=\"color:#000060\">\ud83d\udcd0 <strong>Opposite Angles are Equal<\/strong><\/h3>\n\n\n\n<p>\ud83d\udd01 The <strong>angles facing each other<\/strong> in a parallelogram are <strong>equal<\/strong>.<br>\ud83c\udfaf \u2220A = \u2220C and \u2220B = \u2220D<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-09740ac36c6e081be8ad92a86113c70b\" style=\"color:#000060\">\u2795 <strong>Adjacent Angles are Supplementary<\/strong><\/h3>\n\n\n\n<p>\ud83e\uddee Any <strong>two consecutive angles<\/strong> in a parallelogram <strong>add up to 180\u00b0<\/strong>.<br>\ud83d\udcd8 \u2220A + \u2220B = 180\u00b0<\/p>\n\n\n\n<p>\ud83d\udca1 <em>This helps in finding missing angle measures!<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4ec4e4db582c985fa47ee79b42835bf5\" style=\"color:#000060\">\ud83d\udd3a <strong>Diagonals Bisect Each Other<\/strong><\/h3>\n\n\n\n<p>\ud83d\udccf The <strong>diagonals cut each other into two equal halves<\/strong>.<br>\u27a1\ufe0f AO = CO and BO = DO<\/p>\n\n\n\n<p>\ud83d\udc8e <em>This is a key property used in coordinate geometry proofs.<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-25e48410486c2a61d29613f52cef9e2b\" style=\"color:#000060\">\ud83d\udd04 <strong>Each Diagonal Divides the Parallelogram into Two Congruent Triangles<\/strong><\/h3>\n\n\n\n<p>\u2702\ufe0f The diagonal splits the parallelogram into <strong>two equal-area triangles<\/strong>.<br>\ud83d\udcd0 \u25b3ABC \u2245 \u25b3CDA<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8355304d8771cddbdb08470ecab8f059\" style=\"color:#000060\">\ud83e\uddee <strong>Opposite Sides are Parallel<\/strong><\/h3>\n\n\n\n<p>\u27a1\ufe0f AB \u2225 CD and AD \u2225 BC<br>This is the <strong>basic condition<\/strong> for any parallelogram!<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-528107610256a72a3930475883fa6108\" style=\"color:#000060\">\ud83d\udcab <strong>Area of a Parallelogram<\/strong><\/h3>\n\n\n\n<p>\ud83d\udccf <strong>Area = Base \u00d7 Height<\/strong><br>\ud83e\udde0 Note: The height is the <strong>perpendicular distance<\/strong> between the two parallel sides.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-71621ff8aa14b86bae2e6c168fc55ac2\" style=\"color:#000060\">\ud83d\udfe6 <strong>Types of Parallelograms<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Special Property<\/th><\/tr><\/thead><tbody><tr><td>\ud83d\udd36 Rectangle<\/td><td>All angles are 90\u00b0<\/td><\/tr><tr><td>\ud83d\udd37 Rhombus<\/td><td>All sides are equal<\/td><\/tr><tr><td>\u2b1c Square<\/td><td>All sides equal &amp; angles 90\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ff89a820ca13eebe6d273319832294e0\" style=\"color:#000060\">\ud83e\udde0 <strong>\ud83d\udd1f Key Facts Recap<\/strong><\/h3>\n\n\n\n<p>\u2705 Opposite sides \u2192 Equal &amp; parallel<br>\u2705 Opposite angles \u2192 Equal<br>\u2705 Adjacent angles \u2192 Supplementary<br>\u2705 Diagonals \u2192 Bisect each other<br>\u2705 Each diagonal \u2192 Forms congruent triangles<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-7aaa6a9e6864e1c316c13cc1a444dcea\" style=\"color:#000060\">\ud83d\udca1 <strong>Remember:<\/strong><\/p>\n\n\n\n<p>If any one pair of opposite sides are both <strong>equal and parallel<\/strong>, the quadrilateral is a <strong>parallelogram!<\/strong> \ud83d\udff0\u27a1\ufe0f<\/p>\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:#ffead4\"><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>Find the value of c in parallelogram EFGH.<\/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.-4-1.png\" alt=\"\" class=\"wp-image-8570\" style=\"width:344px;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.-4-1.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.-4-1-300x300.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.-4-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>c =________<\/p>\n<\/div><\/div>\n\n\n\n<p>First, find the pair of opposite sides whose lengths are given in terms of c. The length of EH is 10c and the length of FG is c+9.<\/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.png\" alt=\"\" class=\"wp-image-8571\" style=\"aspect-ratio:1;width:487px;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.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-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-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Since opposite sides of a parallelogram are congruent, set EH equal to FG and solve for c.<\/p>\n\n\n\n<p>EH = FG<\/p>\n\n\n\n<p>10c = c+9          Plug in EH=10c and FG=c+9<\/p>\n\n\n\n<p>9c = 9             Subtract c from both side<\/p>\n\n\n\n<p>c = 1            Divide both sides by 9<\/p>\n\n\n\n<p>So, c=1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#cce0fc\"><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>Find the value of u in rhombus PQRS.<\/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.png\" alt=\"\" class=\"wp-image-8574\" style=\"width:234px;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.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.-5-300x300.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.-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>u=____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>First, find the two angles whose measures are in terms of u. The measure of \u2220Q is u and the measure of \u2220R is u+76\u00b0. Notice that \u2220Q and \u2220R are consecutive angles.<\/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.png\" alt=\"\" class=\"wp-image-8575\" style=\"aspect-ratio:1;width:422px;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.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-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-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Consecutive angles in a rhombus are supplementary, so set the sum of \u2220Q and \u2220R equal to 180\u00b0 and solve for u.<\/p>\n\n\n\n<p>\u2220Q +\u2220R = 180\u00b0<\/p>\n\n\n\n<p>u + (u + 76\u00b0) = 180\u00b0 Plug in \u2220Q = u and \u2220R = u + 76\u00b0<\/p>\n\n\n\n<p>2u + 76\u00b0 = 180\u00b0 Combine like terms<\/p>\n\n\n\n<p>2u = 104\u00b0                    Subtract 76\u00b0 from both sides<\/p>\n\n\n\n<p>u = 52\u00b0                 Divide both sides by 2<\/p>\n\n\n\n<p>So, u = 52\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c3fbc1\"><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>Find the value of t in rhombus PQRS.<\/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.-6.png\" alt=\"\" class=\"wp-image-8578\" style=\"width:264px;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.-6.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.-6-300x300.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.-6-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>t= _____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>First, find the two angles whose measures are in terms of t. The measure of \u2220R is t and the measure of \u2220S is t + 76\u00b0. Notice that \u2220R and \u2220S are consecutive angles.<\/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_.__6_-removebg-preview.png\" alt=\"\" class=\"wp-image-8579\" style=\"aspect-ratio:1;width:418px;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_.__6_-removebg-preview.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_.__6_-removebg-preview-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_.__6_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Consecutive angles in a rhombus are supplementary, so set the sum of \u2220R and \u2220S equal to 180\u00b0 and solve for t.<\/p>\n\n\n\n<p>\u2220R + \u2220S = 180\u00b0<\/p>\n\n\n\n<p>t + (t + 76\u00b0) = 180\u00b0 Plug in \u2220R = t and \u2220S = t + 76\u00b0<\/p>\n\n\n\n<p>2t + 76\u00b0 = 180\u00b0 Combine like terms<\/p>\n\n\n\n<p>2t = 104\u00b0                         Subtract 76\u00b0 from both sides<\/p>\n\n\n\n<p>t = 52\u00b0                       Divide both sides by 2<\/p>\n\n\n\n<p>So, t = 52\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" id=\"yui_3_18_1_1_1669771729179_4701\" style=\"color:#d90000\">Let&#8217;s practice!<\/h3>\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\/84790\/888\/607\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-41.png\" alt=\"\" class=\"wp-image-7799\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-41.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-41-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-41-150x150.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\/85168\/388\/960\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50.png\" alt=\"\" class=\"wp-image-7800\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-50-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Properties of parallelograms Design by Delta publications key notes : \ud83e\udded Definition A parallelogram is a quadrilateral (four-sided figure) where both pairs of opposite sides are parallel.\u27a1\ufe0f Example: Rectangle, Rhombus, Square are all types of parallelograms. \ud83d\udccf Opposite Sides are Equal \ud83d\udc49 In a parallelogram, the opposite sides have the same length.\ud83d\udff0 AB = CD<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/h-3-properties-of-parallelograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.3 Properties of parallelograms&#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-130","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/130","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=130"}],"version-history":[{"count":37,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/130\/revisions"}],"predecessor-version":[{"id":18167,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/130\/revisions\/18167"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}