{"id":191062,"date":"2025-02-14T05:52:41","date_gmt":"2025-02-14T05:52:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191062"},"modified":"2025-02-14T05:52:44","modified_gmt":"2025-02-14T05:52:44","slug":"read-each-item-carefully-choose-the-letter-of-the-correct-answer","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/14\/read-each-item-carefully-choose-the-letter-of-the-correct-answer\/","title":{"rendered":"Read each item carefully Choose the letter of the correct answer"},"content":{"rendered":"\n<p>A. Read each item carefully Choose the letter of the correct answer.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Which of the given quadrilaterals has 2 pairs of opposite sides that are parallel and congruent?<br>A. Parallelogram<\/li>\n\n\n\n<li>Which of the following is not a parallelogram?<br>B. Rectangle<br>B. Rectangle<br>C. Rhombus<\/li>\n\n\n\n<li>How do you describe any two opposite angles in a parallelogram?<br>A. Trapezoid<br>A. They are both right angles<br>B. They are complementary<\/li>\n\n\n\n<li>Which of the following is NOT TRUE about rectangle?<br>A. Opposite sides are not congruent<br>B. Opposite sides are parallel<br>B. Rhombus<br>D. Square<br>C. Rhombus<br>D. Square<br>C. They are supplementary<br>D. They are always congruent<br>C. Opposite sides are congruent<br>D. Consecutive angles are supplementary<br>C. Square<br>D. Trapezoid<br>C. They are supplementary<br>D. They are both right angles<\/li>\n\n\n\n<li>Which of the given quadrilaterals has perpendicular diagonals?<br>A. Rectangle<\/li>\n\n\n\n<li>What can you say about any two consecutive angles of a parallelogram?<br>A. They are always congruent<br>B. They are complementary<\/li>\n\n\n\n<li>Which of the following statements is always true?<br>A. Every quadrilateral is a parallelogram<br>B. Every rectangle is square<br>C. Every rhombus is a rectangle<br>D. Every parallelogram is a rhombus<\/li>\n\n\n\n<li>What is the measure of &lt;A if the m&lt;C = 100\u00b0 in rhombus ABCD?<br>A. 75\u00b0<br>B. 90\u00b0<br>C. 100\u00b0<br>D. 180\u00b0<\/li>\n\n\n\n<li>Two consecutive angles of a parallelogram have measures (x + 30\u00b0) and (2x &#8211; 60\u00b0): What is the<br>value of x?<br>A. 70\u00b0<br>B. 80\u00b0<br>C. 90\u00b0<br>D. 100\u00b0<\/li>\n\n\n\n<li>What is the length of each side of a parallelogram given the length of the two opposite sides, x + 3 cm and 2x 6 cm?<br>A. 12 cm<br>B. 14 cm<br>C. 15 cm<br>SOLUTION.PDF<br>D. 18 cm<\/li>\n<\/ol>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Here are the correct answers with explanations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Which of the given quadrilaterals has 2 pairs of opposite sides that are parallel and congruent?<\/strong><br><strong>Answer:<\/strong> A. Parallelogram<br><strong>Explanation:<\/strong> A parallelogram is a quadrilateral where opposite sides are both parallel and congruent. This means that if one side is equal in length to another, the opposite side will also be of equal length.<\/li>\n\n\n\n<li><strong>Which of the following is not a parallelogram?<\/strong><br><strong>Answer:<\/strong> D. Trapezoid<br><strong>Explanation:<\/strong> A trapezoid (or trapezium) has only one pair of parallel sides, whereas all parallelograms have two pairs of parallel sides.<\/li>\n\n\n\n<li><strong>How do you describe any two opposite angles in a parallelogram?<\/strong><br><strong>Answer:<\/strong> D. They are always congruent<br><strong>Explanation:<\/strong> In a parallelogram, opposite angles are always equal in measure due to the parallel nature of opposite sides.<\/li>\n\n\n\n<li><strong>Which of the following is NOT TRUE about a rectangle?<\/strong><br><strong>Answer:<\/strong> A. Opposite sides are not congruent<br><strong>Explanation:<\/strong> A rectangle has opposite sides that are both parallel and congruent. The incorrect statement suggests otherwise.<\/li>\n\n\n\n<li><strong>Which of the given quadrilaterals has perpendicular diagonals?<\/strong><br><strong>Answer:<\/strong> C. Rhombus<br><strong>Explanation:<\/strong> In a rhombus, the diagonals always bisect each other at right angles (90\u00b0), making them perpendicular.<\/li>\n\n\n\n<li><strong>What can you say about any two consecutive angles of a parallelogram?<\/strong><br><strong>Answer:<\/strong> D. Consecutive angles are supplementary<br><strong>Explanation:<\/strong> The sum of consecutive angles in a parallelogram is always 180\u00b0 because each angle is supplementary to its adjacent angle.<\/li>\n\n\n\n<li><strong>Which of the following statements is always true?<\/strong><br><strong>Answer:<\/strong> D. Every parallelogram is a rhombus<br><strong>Explanation:<\/strong> This is incorrect. The correct answer should be that <strong>not every parallelogram is a rhombus<\/strong>, but every rhombus is a parallelogram. If the question was meant to ask which is false, then option D is the correct response.<\/li>\n\n\n\n<li><strong>What is the measure of \u2220A if m\u2220C = 100\u00b0 in rhombus ABCD?<\/strong><br><strong>Answer:<\/strong> B. 80\u00b0<br><strong>Explanation:<\/strong> In a rhombus, opposite angles are equal. Since \u2220C is 100\u00b0, then \u2220A = 100\u00b0. Adjacent angles in a rhombus are supplementary, so \u2220B = 180\u00b0 &#8211; 100\u00b0 = 80\u00b0.<\/li>\n\n\n\n<li><strong>Two consecutive angles of a parallelogram have measures (x + 30\u00b0) and (2x &#8211; 60\u00b0). What is the value of x?<\/strong><br><strong>Answer:<\/strong> B. 80\u00b0<br><strong>Solution:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In a parallelogram, consecutive angles are supplementary, meaning they add up to 180\u00b0.<\/li>\n\n\n\n<li>So, (x + 30\u00b0) + (2x &#8211; 60\u00b0) = 180\u00b0<\/li>\n\n\n\n<li>Simplifying: x + 30 + 2x &#8211; 60 = 180<\/li>\n\n\n\n<li>3x &#8211; 30 = 180<\/li>\n\n\n\n<li>3x = 210<\/li>\n\n\n\n<li>x = 70\u00b0<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>What is the length of each side of a parallelogram given the length of the two opposite sides, x + 3 cm and 2x &#8211; 6 cm?<\/strong><strong>Answer:<\/strong> B. 14 cm <strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>In a parallelogram, opposite sides are equal.<\/li>\n\n\n\n<li>So, x + 3 = 2x &#8211; 6<\/li>\n\n\n\n<li>Solving for x:<\/li>\n\n\n\n<li>x + 3 = 2x &#8211; 6<\/li>\n\n\n\n<li>3 + 6 = 2x &#8211; x<\/li>\n\n\n\n<li>9 = x<\/li>\n\n\n\n<li>Substituting x = 9 in x + 3:<\/li>\n\n\n\n<li>9 + 3 = 12 cm<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Each of these answers follows from the properties of quadrilaterals, especially parallelograms, rhombuses, and rectangles. Understanding these properties helps in solving geometry problems related to angles, sides, and diagonals.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A. Read each item carefully Choose the letter of the correct answer. The Correct Answer and Explanation is : Here are the correct answers with explanations: Each of these answers follows from the properties of quadrilaterals, especially parallelograms, rhombuses, and rectangles. Understanding these properties helps in solving geometry problems related to angles, sides, and diagonals.<\/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-191062","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191062","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=191062"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191062\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191062"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191062"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191062"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}