{"id":288,"date":"2022-04-13T04:45:47","date_gmt":"2022-04-13T04:45:47","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=288"},"modified":"2024-11-22T10:15:30","modified_gmt":"2024-11-22T10:15:30","slug":"o-8-properties-of-squares-and-rectangles","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/o-8-properties-of-squares-and-rectangles\/","title":{"rendered":"O.8 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<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4d4696560822e7cb72ec4be90d4370b1\" style=\"color:#74008b\">Key Notes:<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>A&nbsp;square is both a rhombus and a rectangle. The diagonals of a square bisect opposite congruent angles, bisect each other, and are&nbsp;congruent.<\/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\" style=\"background-color:#e9dada\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-c7328857b4772a221c84116240e8ef4b\" style=\"color:#b00012\"><strong>Quadrilateral&nbsp;PQRS&nbsp;is a square. What is&nbsp;\u2220QPT?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-9-1.png\" alt=\"\" class=\"wp-image-4999\" style=\"width:246px;height:246px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-9-1.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-9-1-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Since&nbsp;PQRS&nbsp;is a square,&nbsp;\u2220QPS=90\u00b0&nbsp;and&nbsp;PR&nbsp;bisects&nbsp;\u2220QPS.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-2.png\" alt=\"\" class=\"wp-image-5000\" style=\"width:241px;height:241px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-2.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-2-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;\u2220QPT=45\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e6eee3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-ac85ddc96fd53494ca13b55cefe509fc\" style=\"color:#b00012\"><strong>Quadrilateral&nbsp;WXYZ&nbsp;is a square. What is&nbsp;<em>XZ<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-5.png\" alt=\"\" class=\"wp-image-5003\" style=\"width:248px;height:248px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-5.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-5-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Since&nbsp;WXYZ&nbsp;is a square, its diagonals bisect each other and are&nbsp;congruent.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-5004\" style=\"width:239px;height:239px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-4.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__2_-removebg-preview-4-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;<em>VZ<\/em>=<em>VX<\/em>=36&nbsp;and&nbsp;<em>XZ<\/em>=72.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f0dcf3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-600724233a8f7d95ef1bb1ec201c9bfb\" style=\"color:#b00012\"><strong>Quadrilateral&nbsp;ABCD&nbsp;is a square. What is&nbsp;<em>AC<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5.png\" alt=\"\" class=\"wp-image-5005\" style=\"width:257px;height:257px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-3-5-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Since ABCD is a square, its diagonals bisect each other and are congruent.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__4_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-5006\" style=\"width:290px;height:290px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__4_-removebg-preview-3.png 200w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__4_-removebg-preview-3-150x150.png 150w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/figure>\n\n\n\n<p>So,&nbsp;<em>AE<\/em>=<em>CE<\/em>=10&nbsp;and&nbsp;<em>AC<\/em>=20.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-2bab5176158303f33c627db5e9f86f28\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n<\/div><\/div>\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\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-337.png\" alt=\"\" class=\"wp-image-10207\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-337.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-337-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-337-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/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\/82474\/352\/307\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-346.png\" alt=\"\" class=\"wp-image-10208\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-346.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-346-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-346-150x150.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 Key Notes: A&nbsp;square is both a rhombus and a rectangle. The diagonals of a square bisect opposite congruent angles, bisect each other, and are&nbsp;congruent. Learn with an example Quadrilateral&nbsp;PQRS&nbsp;is a square. What is&nbsp;\u2220QPT? Since&nbsp;PQRS&nbsp;is a square,&nbsp;\u2220QPS=90\u00b0&nbsp;and&nbsp;PR&nbsp;bisects&nbsp;\u2220QPS. So,&nbsp;\u2220QPT=45\u00b0. Quadrilateral&nbsp;WXYZ&nbsp;is a square. What is&nbsp;XZ? Since&nbsp;WXYZ&nbsp;is a square, its diagonals bisect each other<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/o-8-properties-of-squares-and-rectangles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;O.8 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-288","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/288","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=288"}],"version-history":[{"count":11,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/288\/revisions"}],"predecessor-version":[{"id":18674,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/288\/revisions\/18674"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=288"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}