{"id":39273,"date":"2025-06-27T06:02:34","date_gmt":"2025-06-27T06:02:34","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39273"},"modified":"2025-06-27T06:02:35","modified_gmt":"2025-06-27T06:02:35","slug":"which-of-the-following-quadrilaterals-has-diagonals-that-bisect-each-other-perpendicular-and-congruent","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-of-the-following-quadrilaterals-has-diagonals-that-bisect-each-other-perpendicular-and-congruent\/","title":{"rendered":"Which of the following quadrilaterals has diagonals that bisect each other, perpendicular and congruent"},"content":{"rendered":"\n<p>Which of the following quadrilaterals has diagonals that bisect each other, perpendicular and congruent<\/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: Square<\/strong><\/p>\n\n\n\n<p>A <strong>square<\/strong> is the quadrilateral that has <strong>diagonals that bisect each other, are perpendicular, and are congruent<\/strong>. Let\u2019s explore why.<\/p>\n\n\n\n<p>First, we need to understand the meaning of each property:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Bisect each other<\/strong>: This means each diagonal cuts the other into two equal halves.<\/li>\n\n\n\n<li><strong>Perpendicular<\/strong>: This means the diagonals intersect at a right angle (90 degrees).<\/li>\n\n\n\n<li><strong>Congruent<\/strong>: This means both diagonals are of the same length.<\/li>\n<\/ol>\n\n\n\n<p>Let\u2019s consider common types of quadrilaterals:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parallelogram<\/strong>: Diagonals bisect each other but are not necessarily perpendicular or congruent.<\/li>\n\n\n\n<li><strong>Rectangle<\/strong>: Diagonals are congruent and bisect each other but do not intersect at a right angle.<\/li>\n\n\n\n<li><strong>Rhombus<\/strong>: Diagonals bisect each other and are perpendicular, but they are not necessarily congruent.<\/li>\n\n\n\n<li><strong>Square<\/strong>: Diagonals bisect each other, are perpendicular, and are congruent.<\/li>\n<\/ul>\n\n\n\n<p>Only the <strong>square<\/strong> satisfies <strong>all three<\/strong> conditions at once.<\/p>\n\n\n\n<p>A square is a special case of both a rectangle and a rhombus. It inherits the properties of a rectangle, which has equal diagonals, and of a rhombus, which has perpendicular diagonals that bisect each other. Because all sides of a square are equal and all angles are right angles, its diagonals have equal length and meet at 90 degrees. Also, the symmetry in a square ensures the diagonals split each other into two equal parts at the center.<\/p>\n\n\n\n<p>This combination of properties is unique to the square. No other quadrilateral meets all three conditions simultaneously. The geometric precision of a square makes it an ideal figure when all these diagonal properties are required. Therefore, among the given choices, the square is the correct answer.<\/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-banner8-1148.jpeg\" alt=\"\" class=\"wp-image-39274\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1148.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1148-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1148-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following quadrilaterals has diagonals that bisect each other, perpendicular and congruent The Correct Answer and Explanation is: Correct Answer: Square A square is the quadrilateral that has diagonals that bisect each other, are perpendicular, and are congruent. Let\u2019s explore why. First, we need to understand the meaning of each property: Let\u2019s consider [&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-39273","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39273","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=39273"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39273\/revisions"}],"predecessor-version":[{"id":39275,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39273\/revisions\/39275"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}