{"id":164844,"date":"2024-11-10T17:31:14","date_gmt":"2024-11-10T17:31:14","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=164844"},"modified":"2024-11-10T17:31:16","modified_gmt":"2024-11-10T17:31:16","slug":"which-statement-is-true-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/10\/which-statement-is-true-2\/","title":{"rendered":"Which statement is true"},"content":{"rendered":"\n

Which statement is true? <\/p>\n\n\n\n

1) A quadrilateral is always a parallelogram. 2) A square is always a parallelogram. 3) A trapezoid never has two congruent sides. 4) A parallelogram is never a rhombus.<\/p>\n\n\n\n

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

The correct statement is 2) A square is always a parallelogram<\/strong>.<\/p>\n\n\n\n

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

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

    \n
  1. A quadrilateral is always a parallelogram.<\/strong><\/li>\n<\/ol>\n\n\n\n
      \n
    • This is false<\/strong>. A quadrilateral is a polygon with four sides, but not all quadrilaterals are parallelograms. A parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length. However, there are other types of quadrilaterals, such as trapezoids and kites, that are not parallelograms.<\/li>\n<\/ul>\n\n\n\n
        \n
      1. A square is always a parallelogram.<\/strong><\/li>\n<\/ol>\n\n\n\n
          \n
        • This statement is true<\/strong>. A square is a specific type of parallelogram. A parallelogram has opposite sides that are parallel and equal in length. A square satisfies these conditions, but it also has the additional properties of having all four sides equal in length and all four angles equal to 90 degrees. Thus, by definition, a square is a parallelogram, but with more specific properties.<\/li>\n<\/ul>\n\n\n\n
            \n
          1. A trapezoid never has two congruent sides.<\/strong><\/li>\n<\/ol>\n\n\n\n
              \n
            • This statement is false<\/strong>. A trapezoid is a quadrilateral with at least one pair of parallel sides. It can have two congruent (equal-length) non-parallel sides. When this happens, the trapezoid is specifically called an isosceles trapezoid<\/strong>. Therefore, it is possible for a trapezoid to have two congruent sides.<\/li>\n<\/ul>\n\n\n\n
                \n
              1. A parallelogram is never a rhombus.<\/strong><\/li>\n<\/ol>\n\n\n\n
                  \n
                • This statement is false<\/strong>. A rhombus is a specific type of parallelogram where all four sides have equal length. Since all rhombuses are parallelograms (they meet the criteria of having opposite sides parallel), this statement is incorrect.<\/li>\n<\/ul>\n\n\n\n

                  Therefore, the correct answer is 2) A square is always a parallelogram<\/strong>, as a square is a special type of parallelogram with additional properties.<\/p>\n","protected":false},"excerpt":{"rendered":"

                  Which statement is true? 1) A quadrilateral is always a parallelogram. 2) A square is always a parallelogram. 3) A trapezoid never has two congruent sides. 4) A parallelogram is never a rhombus. The Correct Answer and Explanation is: The correct statement is 2) A square is always a parallelogram. Explanation: Let’s go over each […]<\/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-164844","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164844","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=164844"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/164844\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=164844"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=164844"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=164844"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}