{"id":136,"date":"2022-04-13T08:26:59","date_gmt":"2022-04-13T08:26:59","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=136"},"modified":"2025-11-01T04:33:51","modified_gmt":"2025-11-01T04:33:51","slug":"h-6-properties-of-squares-and-rectangles","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/h-6-properties-of-squares-and-rectangles\/","title":{"rendered":"H.6 Properties of squares and rectangles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Properties of squares and rectangles<\/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 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\/DAG3bF_jIXI\/sWSQCfemYqv7LM_CDHPoKA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAG3bF_jIXI&#x2F;sWSQCfemYqv7LM_CDHPoKA&#x2F;watch?utm_content=DAG3bF_jIXI&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<\/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-4e80ae9ad226f19a04894523a7e1a66d\" style=\"color:#000060\">\ud83d\udd36 <strong>\ud83d\udfe8 SQUARE \u2013 Properties<\/strong><\/h3>\n\n\n\n<p>A <strong>square<\/strong> is a <strong>special type of rectangle<\/strong> and <strong>rhombus<\/strong>. Let\u2019s explore its amazing properties! \ud83d\udc8e<\/p>\n\n\n\n<p>1\ufe0f\u20e3 <strong>All sides are equal<\/strong> \ud83d\udc49 AB = BC = CD = DA<br>2\ufe0f\u20e3 <strong>All angles are right angles<\/strong> (90\u00b0 each) \u27a1\ufe0f \u2b1c<br>3\ufe0f\u20e3 <strong>Opposite sides are parallel<\/strong> \u27a1\ufe0f AB \u2225 CD, AD \u2225 BC<br>4\ufe0f\u20e3 <strong>Diagonals are equal<\/strong> and <strong>bisect each other at right angles (90\u00b0)<\/strong> \u2797<br>5\ufe0f\u20e3 <strong>Each diagonal bisects the opposite angles<\/strong> \ud83d\udd3a<br>6\ufe0f\u20e3 <strong>Diagonals divide the square into 4 congruent right-angled triangles<\/strong> \u2702\ufe0f<br>7\ufe0f\u20e3 <strong>Perimeter<\/strong> = 4 \u00d7 side \ud83d\udccf<br>8\ufe0f\u20e3 <strong>Area<\/strong> = side\u00b2 \ud83e\uddee<br>9\ufe0f\u20e3 <strong>Symmetry:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 lines of symmetry \u2734\ufe0f<\/li>\n\n\n\n<li>Rotational symmetry of order 4 \ud83d\udd04<\/li>\n<\/ul>\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-6dd042a3ce4d2a33a42c5435ffdc99bf\" style=\"color:#000060\">\ud83d\udd37 <strong>\ud83d\udfe6 RECTANGLE \u2013 Properties<\/strong><\/h3>\n\n\n\n<p>A <strong>rectangle<\/strong> is a <strong>parallelogram with right angles.<\/strong> Let\u2019s see what makes it special! \ud83d\udcd0<\/p>\n\n\n\n<p>1\ufe0f\u20e3 <strong>Opposite sides are equal and parallel<\/strong> \u27a1\ufe0f AB \u2225 CD, AD \u2225 BC<br>2\ufe0f\u20e3 <strong>All angles are 90\u00b0<\/strong> (Right angles) \u2b1c<br>3\ufe0f\u20e3 <strong>Diagonals are equal<\/strong> \u2797<br>4\ufe0f\u20e3 <strong>Diagonals bisect each other<\/strong> (but <em>not<\/em> at 90\u00b0) \u274c\u2195\ufe0f<br>5\ufe0f\u20e3 <strong>Opposite sides are congruent<\/strong> (same length) \ud83d\udccf<br>6\ufe0f\u20e3 <strong>Perimeter<\/strong> = 2 \u00d7 (length + breadth) \ud83d\udd32<br>7\ufe0f\u20e3 <strong>Area<\/strong> = length \u00d7 breadth \ud83e\uddee<br>8\ufe0f\u20e3 <strong>Symmetry:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 lines of symmetry \u2733\ufe0f<\/li>\n\n\n\n<li>Rotational symmetry of order 2 \ud83d\udd01<\/li>\n<\/ul>\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-7b8be8b9550b73830309e55645a789d1\" style=\"color:#000060\">\u2696\ufe0f <strong>\ud83d\udfe9 Difference Between Square and Rectangle<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Property \ud83e\udde9<\/th><th>Square \ud83d\udfe8<\/th><th>Rectangle \ud83d\udfe6<\/th><\/tr><\/thead><tbody><tr><td>Sides<\/td><td>All sides equal<\/td><td>Opposite sides equal<\/td><\/tr><tr><td>Diagonals<\/td><td>Equal and perpendicular<\/td><td>Equal but <em>not<\/em> perpendicular<\/td><\/tr><tr><td>Angles<\/td><td>All 90\u00b0<\/td><td>All 90\u00b0<\/td><\/tr><tr><td>Lines of Symmetry<\/td><td>4<\/td><td>2<\/td><\/tr><tr><td>Example<\/td><td>Chessboard cell \u265f\ufe0f<\/td><td>Book cover \ud83d\udcd6<\/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-acaf984b8f4cda64fb6f0625a5194568\" style=\"color:#000060\">\ud83d\udca1 <strong>Remember:<\/strong><\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Every square is a rectangle \u2705 but not every rectangle is a square \u274c<\/p>\n<\/blockquote>\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:#fcdbdb\"><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>Quadrilateral EFGH is a square. What is \u2220DFE?<\/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.-5-1.png\" alt=\"\" class=\"wp-image-8604\" style=\"width:314px;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.-5-1.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.-5-1-300x300.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.-5-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220DFE= ____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Since EFGH is a square, \u2220EFG=90\u00b0 and FH bisects \u2220EFG.<\/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\/2024\/01\/image-removebg-preview-4.png\" alt=\"\" class=\"wp-image-11821\" style=\"width:308px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-4.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-4-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-4-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So, \u2220DFE=45\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#d9f9cb\"><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>Quadrilateral TUVW is a square. What is \u2220SWT?<\/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.-7-1.png\" alt=\"\" class=\"wp-image-8609\" style=\"width:334px;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.-7-1.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.-7-1-300x300.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.-7-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220SWT= ____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Since TUVW is a square, \u2220TWV=90\u00b0 and UW bisects \u2220TWV.<\/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\/2024\/01\/image-removebg-preview-3.png\" alt=\"\" class=\"wp-image-11820\" style=\"width:306px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-3-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-removebg-preview-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So, \u2220SWT=45\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f9cccc\"><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>Quadrilateral CDEF is a square. What is \u2220EFG?<\/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.-9-1.png\" alt=\"\" class=\"wp-image-8612\" style=\"width:316px;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.-9-1.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.-9-1-300x300.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.-9-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>\u2220EFG= ____\u00b0<\/p>\n<\/div><\/div>\n\n\n\n<p>Since CDEF is a square, \u2220CFE=90\u00b0 and DF bisects \u2220CFE.<\/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_____4_9____9_4____4____9__and_____9____4_.__10_-removebg-preview.png\" alt=\"\" class=\"wp-image-8613\" style=\"width:344px;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_.__10_-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_.__10_-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_.__10_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>So, \u2220EFG=45\u00b0.<\/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\/85122\/292\/235\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-47.png\" alt=\"\" class=\"wp-image-7818\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-47.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-47-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-47-150x150.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\/85326\/088\/898\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56.png\" alt=\"\" class=\"wp-image-7819\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-56-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Properties of squares and rectangles Design by Delta publications key notes : \ud83d\udd36 \ud83d\udfe8 SQUARE \u2013 Properties A square is a special type of rectangle and rhombus. Let\u2019s explore its amazing properties! \ud83d\udc8e 1\ufe0f\u20e3 All sides are equal \ud83d\udc49 AB = BC = CD = DA2\ufe0f\u20e3 All angles are right angles (90\u00b0 each) \u27a1\ufe0f \u2b1c3\ufe0f\u20e3<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/h-6-properties-of-squares-and-rectangles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.6 Properties of squares and rectangles&#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-136","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136","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=136"}],"version-history":[{"count":27,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions"}],"predecessor-version":[{"id":18176,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/136\/revisions\/18176"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}