{"id":249583,"date":"2025-07-09T17:33:03","date_gmt":"2025-07-09T17:33:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=249583"},"modified":"2025-07-09T17:33:05","modified_gmt":"2025-07-09T17:33:05","slug":"state-whether-true-or-false-and-justify-your-answer","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/09\/state-whether-true-or-false-and-justify-your-answer\/","title":{"rendered":"State whether True or False and justify your answer"},"content":{"rendered":"\n

State whether True or False and justify your answer. All rectangles are squares. All rhombus are parallelogram All square are rhombus. please explain this<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s go through each statement one by one:<\/p>\n\n\n\n

    \n
  1. All rectangles are squares<\/strong>
    False.<\/strong> A rectangle is a quadrilateral with four right angles, but its sides do not have to be of equal length. A square, on the other hand, is a special type of rectangle where all four sides are equal in length. Therefore, while all squares are rectangles, not all rectangles are squares. A rectangle can have unequal adjacent sides, making it different from a square.<\/li>\n\n\n\n
  2. All rhombuses are parallelograms<\/strong>
    True.<\/strong> A rhombus is a type of parallelogram where all four sides are of equal length. Parallelograms, by definition, are quadrilaterals where opposite sides are parallel and equal in length. Since a rhombus satisfies the conditions of a parallelogram (opposite sides are parallel and equal), it is indeed a parallelogram. The additional property of equal sides makes it a rhombus, but this does not disqualify it from being a parallelogram.<\/li>\n\n\n\n
  3. All squares are rhombuses<\/strong>
    True.<\/strong> A square is a quadrilateral with all four sides equal in length and all four angles being right angles. A rhombus is defined as a quadrilateral where all four sides are equal in length, but the angles are not necessarily 90 degrees. Since a square has equal-length sides (a requirement for a rhombus) and is a special case of a rhombus with right angles, every square is a rhombus. Therefore, the statement is true.<\/li>\n<\/ol>\n\n\n\n

    In summary, the truth values of the statements are:<\/p>\n\n\n\n

      \n
    • All rectangles are squares: False.<\/strong><\/li>\n\n\n\n
    • All rhombuses are parallelograms: True.<\/strong><\/li>\n\n\n\n
    • All squares are rhombuses: True.<\/strong><\/li>\n<\/ul>\n\n\n\n
      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      State whether True or False and justify your answer. All rectangles are squares. All rhombus are parallelogram All square are rhombus. please explain this The Correct Answer and Explanation is: Let’s go through each statement one by one: In summary, the truth values of the statements are:<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-249583","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249583","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=249583"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/249583\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=249583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=249583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=249583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}