<p>A <strong>quadrilateral</strong> is a closed plane figure that has four sides, four interior angles and four vertices.<br>E.g., square, rectangle, parallelogram.</p>
<p><strong>Angle Sum of a Quadrilateral</strong></p>
<p style="text-align: center">The sum of interior angles of a quadrilateral is \(360^\circ\).<br>(Angle sum of quadrilateral)</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764075512011-p3afhgpv2u.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQwNzU1MTIwMTEtcDNhZmhncHYydS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzMDA3ODc4LCJleHAiOjE3OTMwMDgxNzh9.SJKe9fDxbrk1BqKJcqjHdA3bXRkJDEDsx28d8-X_VUE" style="max-width: min(250px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p style="text-align: center">\(a{}^\circ +b{}^\circ +c{}^\circ +d{}^\circ =360{}^\circ\)</p>
<p><strong>Quadrilaterals and Their Properties</strong></p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764075555590-7zd4rvmi3l8.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQwNzU1NTU1OTAtN3pkNHJ2bWkzbDgucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzAwNzg3OCwiZXhwIjoxNzkzMDA4MTc4fQ.bnlk6Pa1Wf895i-VCW84ft8kknCgDrz5kRzyEt76yuw" style="max-width: min(450px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1764075565733-eqiv1u5fsbb.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjQwNzU1NjU3MzMtZXFpdjF1NWZzYmIucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzAwNzg3OCwiZXhwIjoxNzkzMDA4MTc4fQ.5V1s-8K21dCpsbh9VdizrqERs07XY9Xl160URWuA9eM" style="max-width: min(450px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>Correction to the retained kite image: the diagonals of a kite are perpendicular, and one diagonal bisects the other. They do not in general bisect each other. The interior-angle sum \(360^\circ\) is for a simple quadrilateral; a diagonal lying inside it divides it into two triangles.</p>

A **quadrilateral** is a closed plane figure that has four sides, four interior angles and four vertices.
E.g., square, rectangle, parallelogram.

The sum of interior angles of a quadrilateral is \(360^\circ\).
(Angle sum of quadrilateral)

\(a{}^\circ +b{}^\circ +c{}^\circ +d{}^\circ =360{}^\circ\)

Correction to the retained kite image: the diagonals of a kite are perpendicular, and one diagonal bisects the other. They do not in general bisect each other. The interior-angle sum \(360^\circ\) is for a simple quadrilateral; a diagonal lying inside it divides it into two triangles.

Quadrilaterals and Their Properties

Quadrilaterals and Their Properties

Video Solution:

Solution:

Solution locked