{"id":40688,"date":"2025-06-27T19:16:17","date_gmt":"2025-06-27T19:16:17","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40688"},"modified":"2025-06-27T19:16:18","modified_gmt":"2025-06-27T19:16:18","slug":"given-three-distinct-quadrilaterals","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/given-three-distinct-quadrilaterals\/","title":{"rendered":"Given three distinct quadrilaterals."},"content":{"rendered":"\n<p>Given three distinct quadrilaterals. a square, rectangle. and a rhombus. which quadrilaterals must have perpendicular diagonals? 1) the rhombus. only 2) the rectangle and the square 3) the rhombus and the square 4) the rectangle. the rhombus. and the square 3 2 1 4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br><strong>3) The rhombus and the square<\/strong><\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To understand which quadrilaterals have perpendicular diagonals, let us briefly examine the properties of each figure:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Square<\/strong><br>A square has all sides equal and all angles equal to 90 degrees. Its diagonals have two important properties:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>They are equal in length<\/li>\n\n\n\n<li>They bisect each other at right angles (perpendicular)<\/li>\n<\/ul>\n\n\n\n<p>Thus, the diagonals of a square are always perpendicular to each other.<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>Rectangle<\/strong><br>A rectangle has opposite sides equal and all angles equal to 90 degrees. Its diagonals:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Are equal in length<\/li>\n\n\n\n<li>Bisect each other<br>However, the diagonals of a rectangle are not necessarily perpendicular unless the rectangle is also a square. So in a general rectangle that is not a square, the diagonals do <strong>not<\/strong> intersect at right angles.<\/li>\n<\/ul>\n\n\n\n<ol start=\"3\" class=\"wp-block-list\">\n<li><strong>Rhombus<\/strong><br>A rhombus has all sides equal, but the angles are not necessarily 90 degrees. The diagonals of a rhombus:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bisect each other<\/li>\n\n\n\n<li>Are perpendicular to each other<\/li>\n<\/ul>\n\n\n\n<p>Therefore, the diagonals of a rhombus always intersect at right angles, regardless of the angles of the rhombus.<\/p>\n\n\n\n<p><strong>Summary<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Square: Diagonals are perpendicular<\/li>\n\n\n\n<li>Rectangle: Diagonals are <strong>not necessarily<\/strong> perpendicular<\/li>\n\n\n\n<li>Rhombus: Diagonals are perpendicular<\/li>\n<\/ul>\n\n\n\n<p>Thus, only the <strong>square<\/strong> and the <strong>rhombus<\/strong> must have perpendicular diagonals, which corresponds to option <strong>3) The rhombus and the square<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1281.jpeg\" alt=\"\" class=\"wp-image-40695\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1281.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1281-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1281-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Given three distinct quadrilaterals. a square, rectangle. and a rhombus. which quadrilaterals must have perpendicular diagonals? 1) the rhombus. only 2) the rectangle and the square 3) the rhombus and the square 4) the rectangle. the rhombus. and the square 3 2 1 4 The Correct Answer and Explanation is: Correct Answer:3) The rhombus and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-40688","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40688","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=40688"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40688\/revisions"}],"predecessor-version":[{"id":40696,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40688\/revisions\/40696"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40688"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40688"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40688"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}