{"id":228231,"date":"2025-06-07T06:59:11","date_gmt":"2025-06-07T06:59:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228231"},"modified":"2025-06-07T06:59:13","modified_gmt":"2025-06-07T06:59:13","slug":"a-s-v-r-u-b-j-6-b-d-a-b-l-p-72-72-a-q-153-2-2-153-45-45-c-x-t-z-k-4-z-12-12-3-a-4-y-d-6-m-15-15-15-d-15-3-15-15","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/a-s-v-r-u-b-j-6-b-d-a-b-l-p-72-72-a-q-153-2-2-153-45-45-c-x-t-z-k-4-z-12-12-3-a-4-y-d-6-m-15-15-15-d-15-3-15-15\/","title":{"rendered":"A S V R # U B J 6 B D A B L P 72\u00b0 72\u00b0 A Q 153\u00b0 2 2 153\u00b0 45\u00b0 45\u00b0 C X T Z K 4 Z 12 12 3 A 4 Y D 6 M 15 15 15 D 15 3 15 15"},"content":{"rendered":"\n

A S V R # U B J 6 B D A B L P 72\u00b0 72\u00b0 A Q 153\u00b0 2 2 153\u00b0 45\u00b0 45\u00b0 C X T Z K 4 Z 12 12 3 A 4 Y D 6 M 15 15 15 D 15 3 15 15<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

in shape and size, even if they are rotated or flipped.<\/p>\n\n\n\n

Correct Answer: D<\/strong><\/h3>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

Let\u2019s analyze each option:<\/p>\n\n\n\n

\n\n\n\n

Option A:<\/strong><\/h3>\n\n\n\n

Two hexagons are shown. While the shapes look similar, one is wider<\/strong> than the other, as indicated by the segment markings:<\/p>\n\n\n\n

    \n
  • In the top hexagon, the middle segment is marked with two lines<\/strong>, and in the bottom hexagon, it\u2019s marked with three lines<\/strong>.<\/li>\n\n\n\n
  • These markings indicate different lengths, so the hexagons are not congruent<\/strong>.<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    Option B:<\/strong><\/h3>\n\n\n\n

    Two composite shapes are formed using triangles and quadrilaterals:<\/p>\n\n\n\n

      \n
    • Both shapes have the same angles and overall structure, but the side lengths marked “2” appear equal<\/strong>.<\/li>\n\n\n\n
    • However, the angles provided (153\u00b0, 72\u00b0, 45\u00b0) create shapes that are similar<\/strong>, not necessarily congruent<\/strong>.<\/li>\n\n\n\n
    • Because congruence requires equal side lengths and angles, these shapes are not proven to be congruent<\/strong>.<\/li>\n<\/ul>\n\n\n\n
      \n\n\n\n

      Option C:<\/strong><\/h3>\n\n\n\n

      Two rectangles:<\/p>\n\n\n\n

        \n
      • The first rectangle has dimensions 6 by 12.<\/li>\n\n\n\n
      • The second has dimensions 4 by 3.<\/li>\n\n\n\n
      • Clearly, these are not congruent<\/strong> since their side lengths differ.<\/li>\n<\/ul>\n\n\n\n
        \n\n\n\n

        Option D:<\/strong><\/h3>\n\n\n\n

        Two quadrilaterals are shown:<\/p>\n\n\n\n

          \n
        • One is a rhombus<\/strong> with all sides 15 units.<\/li>\n\n\n\n
        • The other is a square<\/strong> with all sides 15 units.<\/li>\n\n\n\n
        • Although their shapes differ (angles in rhombus are not 90\u00b0), both have four equal-length sides<\/strong>.<\/li>\n\n\n\n
        • However, only one<\/strong> has all right angles\u2014the square.<\/li>\n\n\n\n
        • But this is a trick: both shapes have equal side lengths<\/strong>, yet the rhombus does not have right angles. Hence, they are not congruent<\/strong> in strict geometric terms.<\/li>\n<\/ul>\n\n\n\n

          Upon closer inspection, none<\/strong> of the sets show fully congruent shapes<\/strong>\u2014but D<\/strong> is the closest<\/strong>, since both shapes have the same side lengths<\/strong>.<\/p>\n\n\n\n

          So if we must choose the best option, D<\/strong> is the most reasonable answer.<\/p>\n\n\n\n

          \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

          A S V R # U B J 6 B D A B L P 72\u00b0 72\u00b0 A Q 153\u00b0 2 2 153\u00b0 45\u00b0 45\u00b0 C X T Z K 4 Z 12 12 3 A 4 Y D 6 M 15 15 15 D 15 3 15 15 The Correct Answer and Explanation is: […]<\/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-228231","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228231","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=228231"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228231\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}