{"id":4456,"date":"2020-12-07T10:20:27","date_gmt":"2020-12-07T04:50:27","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=4456"},"modified":"2020-12-07T10:32:00","modified_gmt":"2020-12-07T05:02:00","slug":"what-is-a-quadrilateral","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/what-is-a-quadrilateral\/","title":{"rendered":"What is a Quadrilateral"},"content":{"rendered":"<h2><strong>What is a Quadrilateral<\/strong><\/h2>\n<p>A closed figure bounded by four line segments is called a quadrilateral.<br \/>\n<img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/c2.staticflickr.com\/6\/5341\/29926701712_a79f352252_o.png\" alt=\"quadrilateral\" width=\"400\" height=\"127\" \/>All closed figures shown in figure are quadrilaterals as all of them have four line segments. A quadrilateral has four sides, four vertices, and four angles. Let us consider a quadrilateral PQRS.<br \/>\n<img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/c2.staticflickr.com\/6\/5471\/29412426194_70c2005524_o.png\" alt=\"quadrilateral-1\" width=\"263\" height=\"148\" \/><\/p>\n<ol>\n<li>Sides of the quadrilateral PQRS are PQ, QR, RS, SP, or QP, PS, SR, RQ.<\/li>\n<li>Angles of the quadrilateral PQRS are \u2220P, \u2220Q, \u2220R, \u2220S or \u2220SPQ, \u2220PQR, \u2220QRS, \u2220RSP.<\/li>\n<li>Vertices of quadrilateral PQRS are P, Q, R, and S.<\/li>\n<\/ol>\n<p><strong>Read More:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/cbselibrary.com\/quadrilateral-family\/\">Quadrilateral Family<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/different-types-of-quadrilaterals\/\">Different Kinds of Quadrilateral<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/types-of-quadrilaterals\/\">More Solved examples on\u00a0Quadrilaterals<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/convex-concave-angle-sum-property-of-quadrilaterals\/\">Convex and Concave Quadrilaterals<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/lesson\/rs-aggarwal-class-9-solutions-quadrilaterals-and-parallelograms\/\">RS Aggarwal Class 9 Solutions Quadrilaterals and Parallelograms<\/a><\/li>\n<li><a href=\"https:\/\/cbselibrary.com\/properties-of-cyclic-quadrilaterals\/\">Properties of Cyclic Quadrilaterals<\/a><\/li>\n<\/ul>\n<p>In addition to the above mentioned features, a quadrilateral also has two diagonals. The line segments joining the opposite vertices of a quadrilateral are called its diagonals. So, PR and QS are diagonals of quadrilateral PQRS that divide the quadrilateral into four triangles.<br \/>\n<img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/c1.staticflickr.com\/9\/8119\/30040477325_7336fb2c64_o.png\" alt=\"quadrilateral-2\" width=\"256\" height=\"144\" \/><\/p>\n<p><strong>Adjacent sides<\/strong><br \/>\nIn quadrilateral PQRS, the two sides PQ and QR having\u00a0a common end point Q, are called adjacent sides.\u00a0Similarly, QR and RS, RS and SP, SP and PQ are adjacent to each other.<br \/>\n<img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/c1.staticflickr.com\/9\/8082\/29412426044_19b784a481_o.png\" alt=\"quadrilateral-3\" width=\"252\" height=\"184\" \/> <strong>Opposite sides<\/strong><br \/>\nThe sides PQ and RS, PS and QR are opposite to each other. They are the opposite sides.<br \/>\nThey do not have any common point.<\/p>\n<p><strong>Adjacent angles<\/strong><br \/>\nTwo angles of a quadrilateral that have a common arm are called adjacent angles.<br \/>\nIn quadrilateral PQRS<br \/>\n\u2220P and \u2220S, \u2220P and \u2220Q, \u2220Q and \u2220R, \u2220R and \u2220S\u00a0are pairs of adjacent angles.<\/p>\n<p><strong>Opposite angles<\/strong><br \/>\nTwo angles of a quadrilateral that have no common arm are called opposite angles.<br \/>\nIn quadrilateral PQRS, \u2220P and \u2220R, and \u2220Q and \u2220S are pairs of opposite angles.<\/p>\n<h2>Types of Quadrilaterals:<\/h2>\n<p>Quadrilaterals are classified as the following, depending upon their sides.<\/p>\n<ol>\n<li>Parallelogram<\/li>\n<li>Rhombus<\/li>\n<li>Rectangle<\/li>\n<li>Square<\/li>\n<li>Trapezium<\/li>\n<li>Isosceles Trapezium<\/li>\n<li>Kite<\/li>\n<\/ol>\n<p><img loading=\"lazy\" class=\"size-full wp-image-12005 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/10\/what-is-a-quadrilateral-1.jpg\" alt=\"\" width=\"650\" height=\"397\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/10\/what-is-a-quadrilateral-1.jpg 650w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/10\/what-is-a-quadrilateral-1-300x183.jpg 300w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/p>\n<p>https:\/\/www.youtube.com\/watch?v=dClELYwm8Nc<\/p>\n<h2><strong>Interior and exterior of a quadrilateral<\/strong><\/h2>\n<p>A quadrilateral divides a plane into three parts:<\/p>\n<ol>\n<li><strong>Interior region:<\/strong> The region inside the quadrilateral is called the interior of the quadrilateral.<br \/>\n<img loading=\"lazy\" class=\"aligncenter\" src=\"https:\/\/c2.staticflickr.com\/6\/5460\/29413255533_293fed558d_o.png\" alt=\"Interior-exterior-quadrilateral\" width=\"263\" height=\"142\" \/>\u00a0Points A, B, and C are in the interior of the quadrilateral PQRS.<\/li>\n<li><strong>On the quadrilateral:<\/strong> The points M and N which lie on the boundary are said to be on the quadrilateral.<\/li>\n<li><strong>Exterior region:<\/strong> The region outside the quadrilateral is called the exterior of the quadrilateral. Points U and T are in the exterior of the quadrilaterals.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a Quadrilateral A closed figure bounded by four line segments is called a quadrilateral. All closed figures shown in figure are quadrilaterals as all of them have four line segments. A quadrilateral has four sides, four vertices, and four angles. Let us consider a quadrilateral PQRS. Sides of the quadrilateral PQRS are PQ, &#8230; <a title=\"What is a Quadrilateral\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/what-is-a-quadrilateral\/\" aria-label=\"More on What is a Quadrilateral\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[2487,2485,2488,2486,2483],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is a Quadrilateral - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/what-is-a-quadrilateral\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is a Quadrilateral\" \/>\n<meta property=\"og:description\" content=\"What is a Quadrilateral A closed figure bounded by four line segments is called a quadrilateral. 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