{"id":39263,"date":"2025-06-27T05:25:54","date_gmt":"2025-06-27T05:25:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39263"},"modified":"2025-06-27T05:25:56","modified_gmt":"2025-06-27T05:25:56","slug":"which-quadrilaterals-always-have-diagonals-that-bisect-opposite-angles","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/which-quadrilaterals-always-have-diagonals-that-bisect-opposite-angles\/","title":{"rendered":"&#8216;Which quadrilaterals always have diagonals that bisect opposite angles"},"content":{"rendered":"\n<p>&#8216;Which quadrilaterals always have diagonals that bisect opposite angles? (Select all that apply-) Parallelograms Rectangles Rhombi Squares&#8217;<\/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 Answers: Rhombi and Squares<\/strong><\/p>\n\n\n\n<p>To determine which quadrilaterals always have diagonals that bisect opposite angles, let&#8217;s analyze the properties of each option:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Parallelograms<\/strong><br>A parallelogram is a quadrilateral with both pairs of opposite sides parallel. While its diagonals bisect each other, they do <strong>not<\/strong> necessarily bisect the angles of the parallelogram. For example, in a general parallelogram that is not a rhombus, the diagonals cross at right angles but do not divide the corner angles into equal parts. Therefore, parallelograms do not always have diagonals that bisect opposite angles.<\/li>\n\n\n\n<li><strong>Rectangles<\/strong><br>A rectangle is a special type of parallelogram with four right angles. Like all parallelograms, its diagonals bisect each other. However, they do <strong>not<\/strong> bisect the corner angles unless the rectangle is also a square. In general, a rectangle&#8217;s diagonals are equal in length but do not divide the 90-degree angles into equal parts along the diagonals. Therefore, rectangles are not guaranteed to have diagonals that bisect opposite angles.<\/li>\n\n\n\n<li><strong>Rhombi<\/strong><br>A rhombus is a parallelogram with all four sides of equal length. One defining property of rhombi is that their diagonals are perpendicular and <strong>always bisect both the angles and each other<\/strong>. This means each diagonal of a rhombus divides the two opposite angles it connects into two equal parts. Thus, rhombi always have diagonals that bisect opposite angles.<\/li>\n\n\n\n<li><strong>Squares<\/strong><br>A square is a quadrilateral that is both a rectangle and a rhombus. It has all the properties of both: equal sides, right angles, equal diagonals, and perpendicular diagonals that bisect both each other and the angles. Therefore, squares always have diagonals that bisect opposite angles.<\/li>\n<\/ol>\n\n\n\n<p><strong>Conclusion:<\/strong> Only <strong>rhombi and squares<\/strong> always have diagonals that bisect opposite angles.<\/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-banner8-1146.jpeg\" alt=\"\" class=\"wp-image-39264\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1146.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1146-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1146-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>&#8216;Which quadrilaterals always have diagonals that bisect opposite angles? (Select all that apply-) Parallelograms Rectangles Rhombi Squares&#8217; The Correct Answer and Explanation is: Correct Answers: Rhombi and Squares To determine which quadrilaterals always have diagonals that bisect opposite angles, let&#8217;s analyze the properties of each option: Conclusion: Only rhombi and squares always have diagonals that [&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-39263","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39263","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=39263"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39263\/revisions"}],"predecessor-version":[{"id":39265,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39263\/revisions\/39265"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}