{"id":146,"date":"2022-04-13T08:28:40","date_gmt":"2022-04-13T08:28:40","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=146"},"modified":"2025-11-08T08:41:41","modified_gmt":"2025-11-08T08:41:41","slug":"i-1-polygon-vocabulary","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/i-1-polygon-vocabulary\/","title":{"rendered":"I.1 Polygon vocabulary"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Polygon vocabulary<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd37 <strong>Polygon \u2013 Definition<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>polygon<\/strong> is a <strong>closed 2D shape<\/strong> made of <strong>straight line segments<\/strong> only.<br>\u2705 No curves, \u274c No open shapes<br><strong>Examples:<\/strong> Triangle, Quadrilateral, Pentagon, Hexagon<\/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-large-font-size\">\ud83d\udccd <strong>Sides (Edges)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Sides<\/strong> are the <strong>straight line segments<\/strong> that form a polygon.<br>\u270f\ufe0f A triangle has 3 sides, a square has 4 sides, etc.<\/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-large-font-size\">\ud83d\udd38 <strong>Vertices (Corners)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Vertices<\/strong> (singular: Vertex) are the <strong>points where two sides meet<\/strong>.<br>\ud83d\udd3a A triangle has 3 vertices (A, B, C).<\/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-large-font-size\">\ud83d\udcd0 <strong>Angles<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Interior Angles:<\/strong> Angles <strong>inside<\/strong> the polygon<\/li>\n\n\n\n<li><strong>Exterior Angles:<\/strong> Angles <strong>formed outside<\/strong> the polygon by extending a side<\/li>\n<\/ul>\n\n\n\n<p>\ud83e\uddee <strong>Sum of interior angles formula:<\/strong><br>(n\u22122)\u00d7180\u00b0<br>(where <strong>n = number of sides<\/strong>)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u2705 <strong>Regular vs Irregular Polygons<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Meaning<\/th><th>Example<\/th><\/tr><\/thead><tbody><tr><td>\ud83c\udf08 <strong>Regular Polygon<\/strong><\/td><td>All sides &amp; angles are <strong>equal<\/strong><\/td><td>Equilateral Triangle, Square<\/td><\/tr><tr><td>\ud83d\udd36 <strong>Irregular Polygon<\/strong><\/td><td>Sides &amp; angles are <strong>not equal<\/strong><\/td><td>Rectangle, Scalene Triangle<\/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-large-font-size\">\u2696\ufe0f <strong>Convex vs Concave Polygons<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Type<\/th><th>Description<\/th><\/tr><\/thead><tbody><tr><td>\u2b50 <strong>Convex Polygon<\/strong><\/td><td>All interior angles <strong>&lt; 180\u00b0<\/strong>; no sides go inward<\/td><\/tr><tr><td>\ud83c\udf00 <strong>Concave Polygon<\/strong><\/td><td>At least one interior angle <strong>&gt; 180\u00b0<\/strong>; looks \u201ccaved in\u201d<\/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-large-font-size\">\ud83e\uddca <strong>Diagonal<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>diagonal<\/strong> is a line segment connecting <strong>two non-adjacent vertices<\/strong> inside a polygon.<br>\ud83e\uddee <strong>Number of diagonals formula:<\/strong><br>n(n\u22123)\/2<\/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-large-font-size\">\ud83d\udd01 <strong>Equilateral, Equiangular &amp; Cyclic Polygons<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equilateral Polygon:<\/strong> All sides are equal<\/li>\n\n\n\n<li><strong>Equiangular Polygon:<\/strong> All interior angles are equal<\/li>\n\n\n\n<li><strong>Cyclic Polygon:<\/strong> All vertices lie on a <strong>circle<\/strong><\/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-large-font-size\">\ud83d\udcca <strong>Naming Polygons (by Number of Sides)<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Sides<\/th><th>Name<\/th><\/tr><\/thead><tbody><tr><td>3<\/td><td>Triangle \ud83d\udd3a<\/td><\/tr><tr><td>4<\/td><td>Quadrilateral \u2b1b<\/td><\/tr><tr><td>5<\/td><td>Pentagon \u2b50<\/td><\/tr><tr><td>6<\/td><td>Hexagon \ud83d\udd37<\/td><\/tr><tr><td>7<\/td><td>Heptagon<\/td><\/tr><tr><td>8<\/td><td>Octagon \u2bc3<\/td><\/tr><tr><td>9<\/td><td>Nonagon<\/td><\/tr><tr><td>10<\/td><td>Decagon \ud83d\udd1f<\/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-large-font-size\">\ud83e\udde0 <strong>Important Facts to Remember<\/strong><\/h3>\n\n\n\n<p>\u2728 A polygon must have <strong>at least 3 sides<\/strong><br>\u2728 The <strong>shortest polygon<\/strong> is a <strong>triangle<\/strong><br>\u2728 A <strong>circle is NOT a polygon<\/strong> (it has no straight sides)<\/p>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\n<\/div><\/div>\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:#f5c8b8\"><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-large-font-size\" style=\"color:#b00012\"><strong>\u2708\ufe0f  Is&nbsp;this a&nbsp;polygon?<\/strong><\/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\/2022\/12\/Untitled_design__74_-removebg-preview.png\" alt=\"\" class=\"wp-image-3470\" style=\"width:266px;height:266px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview-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 class=\"has-large-font-size\">no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>This figure is not a polygon. Although it is closed, it does not have straight sides.<\/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\/2022\/12\/Untitled_design__74_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3471\" style=\"aspect-ratio:1;width:308px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__74_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f39eff\"><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\" style=\"color:#b00012\"><strong>\u2708\ufe0f Is&nbsp;this shape a regular&nbsp;polygon?<\/strong><\/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\/2022\/12\/Untitled_design__75_-removebg-preview.png\" alt=\"\" class=\"wp-image-3477\" style=\"width:278px;height:278px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview-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>This&nbsp;shape is a regular&nbsp;polygon.<\/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\/2022\/12\/Untitled_design__75_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3478\" style=\"aspect-ratio:1;width:379px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__75_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>All of its angles measure 135\u00b0 and all of its sides have length 98.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#fffcb5\"><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\" style=\"color:#b00012\"><strong>\u2708\ufe0f Is&nbsp;this a&nbsp;polygon?<\/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\/2022\/12\/Untitled_design__76_-removebg-preview.png\" alt=\"\" class=\"wp-image-3481\" style=\"width:208px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview-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>This figure is not a polygon. It is open, not closed.<\/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\/2022\/12\/Untitled_design__76_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-3482\" style=\"width:223px;height:223px\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview-1-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2022\/12\/Untitled_design__76_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/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\/86347\/145\/150\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-51.png\" alt=\"\" class=\"wp-image-7833\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-51.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-51-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-51-150x150.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\/63553\/132\/832\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-60.png\" alt=\"\" class=\"wp-image-7834\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-60.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-60-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-60-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Polygon vocabulary key notes : \ud83d\udd37 Polygon \u2013 Definition \ud83d\udccd Sides (Edges) \ud83d\udd38 Vertices (Corners) \ud83d\udcd0 Angles \ud83e\uddee Sum of interior angles formula:(n\u22122)\u00d7180\u00b0(where n = number of sides) \u2705 Regular vs Irregular Polygons Type Meaning Example \ud83c\udf08 Regular Polygon All sides &amp; angles are equal Equilateral Triangle, Square \ud83d\udd36 Irregular Polygon Sides &amp; angles are<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/i-1-polygon-vocabulary\/\">Continue reading <span class=\"screen-reader-text\">&#8220;I.1 Polygon vocabulary&#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-146","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146","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=146"}],"version-history":[{"count":24,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146\/revisions"}],"predecessor-version":[{"id":18229,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/146\/revisions\/18229"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}