{"id":38085,"date":"2023-10-24T10:53:57","date_gmt":"2023-10-24T05:23:57","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=38085"},"modified":"2023-11-10T12:00:09","modified_gmt":"2023-11-10T06:30:09","slug":"different-types-of-quadrilaterals","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/different-types-of-quadrilaterals\/","title":{"rendered":"Different Types of Quadrilaterals &#8211; Definition, Properties"},"content":{"rendered":"<p>Depending upon the length and angles, quadrilaterals are classifieds in different ways. Let us check Different Types of Quadrilaterals and their definition, properties along with their diagrams. A <a href=\"https:\/\/ccssmathanswers.com\/quadrilateral\/\">quadrilateral<\/a> can be explained using the below properties<\/p>\n<ul>\n<li>The sum of the interior angles is 360 degrees in a quadrilateral.<\/li>\n<li>A quadrilateral consists of 4 sides and 4 vertices, and also 4 angles.<\/li>\n<li>The sum of the interior angle from the formula of the polygon using (n &#8211; 2) \u00d7 180 where n is equal to the number of sides of the polygon.<\/li>\n<\/ul>\n<p>The main types in a quadrilateral are squares and rectangles, etc., with the same angles and sides.<\/p>\n<h2>Various Types of Quadrilaterals<\/h2>\n<p>Mainly quadrilaterals are classified into six types. They are<\/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>Kite<\/li>\n<\/ol>\n<h3>Parallelogram<\/h3>\n<p>A quadrilateral is said to be a parallelogram when it has two pairs of parallel sides and opposite sides are parallel and equal in length. Also, the opposite angles are equal in a parallelogram. Let us take a parallelogram PQRS, then the side PQ is parallel to the side RS. Also, the side PS is parallel to a side QR.<\/p>\n<p>Two diagonals are present in the parallelogram and they intersect each other at a midpoint. From the figure, PR and QS are two diagonals. Also, the diagonals are equal in length from the midpoint.<\/p>\n<p>PQ \u2225 RS and PS \u2225 QR.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7298\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/parallelogram-6.jpg\" alt=\"parallelogram 6\" width=\"142\" height=\"118\" \/><\/p>\n<h3>Rhombus<\/h3>\n<p>Rhombus is a quadrilateral when all the four sides of a quadrilateral having equal lengths. In a rhombus, opposite sides are parallel and opposite angles are equal.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7282\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/Rhombus.jpg\" alt=\"Rhombus\" width=\"156\" height=\"107\" \/><\/p>\n<p>From the above figure, PQRS is a rhombus in which PQ \u2225 RS, PS \u2225 QR, and PQ = QR = RS = SP.<\/p>\n<h3>Rectangle<\/h3>\n<p>A quadrilateral is considered as a rectangle when all 4 angles of it are equal and each angle is 90 degrees. Also, both pairs of opposite sides of a rectangle are parallel and have equal lengths.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7270\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/rectangle-300x168.jpg\" alt=\"rectangle\" width=\"219\" height=\"123\" \/><\/p>\n<p>From the above figure, PQRS is a quadrilateral in which PQ \u2225 RS, PS \u2225 QR and \u2220P = \u2220Q = \u2220R = \u2220S = 90\u00b0.<\/p>\n<p>So, PQRS is a rectangle.<\/p>\n<h3>Square<\/h3>\n<p>A square is a quadrilateral consists all the sides and angles are equal. Also, every angle of a square is 90 degrees. The pairs of opposite sides of a square are parallel to each other.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7318\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/square.jpg\" alt=\"square\" width=\"116\" height=\"111\" \/><\/p>\n<p>From the above figure, PQRS is a quadrilateral in which PQ \u2225 RS, PS \u2225 QR, PQ = QR = RS = SP and \u2220P = \u2220Q = \u2220R = \u2220S = 90\u00b0.<\/p>\n<p>So, PQRS is a square.<\/p>\n<h3>Trapezium<\/h3>\n<p>A quadrilateral is called a trapezium when it has one pair of opposite parallel sides.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7320\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/trapezium.jpg\" alt=\"trapezium\" width=\"172\" height=\"135\" \/><\/p>\n<p>From the above figure, PQRS is a quadrilateral in which PQ \u2225 RS. So, PQRS is a trapezium. A trapezium its non-parallel sides are equal is called an isosceles trapezium.<\/p>\n<h3>Kite<\/h3>\n<p>A quadrilateral is said to be a kite that has two pairs of equal-length sides and the sides are adjacent to each other.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7325\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/kite.jpg\" alt=\"kite\" width=\"119\" height=\"173\" \/><\/p>\n<p>From the above figure, PQRS is a quadrilateral. PQ = PS, QR = RS, PS \u2260 QR, and PQ \u2260 RS.<\/p>\n<p>So, PQRS is a kite.<\/p>\n<h3>Important Points to Remember for Quadrilaterals<\/h3>\n<p>Look at some of the important points need to remember about a quadrilateral.<\/p>\n<ul>\n<li>A square is a rectangle and also it becomes a rhombus.<\/li>\n<li>The rectangle and rhombus do not become\u00a0a square.<\/li>\n<li>A parallelogram is a trapezium.<\/li>\n<li>Square, rectangle, and rhombus are types of parallelograms.<\/li>\n<li>A trapezium is not a parallelogram.<\/li>\n<li>Kite is not a parallelogram.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Depending upon the length and angles, quadrilaterals are classifieds in different ways. Let us check Different Types of Quadrilaterals and their definition, properties along with their diagrams. A quadrilateral can be explained using the below properties The sum of the interior angles is 360 degrees in a quadrilateral. A quadrilateral consists of 4 sides and &#8230; <a title=\"Different Types of Quadrilaterals &#8211; Definition, Properties\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/different-types-of-quadrilaterals\/\" aria-label=\"More on Different Types of Quadrilaterals &#8211; Definition, Properties\">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":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38085"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=38085"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38085\/revisions"}],"predecessor-version":[{"id":92607,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38085\/revisions\/92607"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=38085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=38085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=38085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}