{"id":108355,"date":"2022-02-12T17:57:54","date_gmt":"2022-02-12T12:27:54","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=108355"},"modified":"2025-01-27T17:23:17","modified_gmt":"2025-01-27T11:53:17","slug":"ncert-solutions-for-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/ncert-solutions-for-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4"},"content":{"rendered":"<p><strong>NCERT Solutions for Class 8 Maths Chapter 3<\/strong> <strong>Understanding Quadrilaterals Exercise 3.4<\/strong><\/p>\n<p>Ex 3.4 Class 8 Maths Question 1.<br \/>\nState whether True or False.<br \/>\n(a) All rectangles are squares.<br \/>\n(b) All rhombuses are parallelograms.<br \/>\n(c) All squares are rhombuses and also rectangles.<br \/>\n(d) All squares are not parallelograms.<br \/>\n(e) All kites are rhombuses.<br \/>\n(f) All rhombuses are kites.<br \/>\n(g) All parallelograms are trapeziums.<br \/>\n(h) All squares are trapeziums.<br \/>\nSolution:<br \/>\n(a) False<br \/>\n(b) True<br \/>\n(c) True<br \/>\n(d) False<br \/>\n(e) False<br \/>\n(f) True<br \/>\n(g) True<br \/>\n(h) True<\/p>\n<p>Ex 3.4 Class 8 Maths Question 2.<br \/>\nIdentify all the quadrilaterals that have<br \/>\n(a) four sides of equal length<br \/>\n(b) four right angles<br \/>\nSolution:<br \/>\n(a) Squares and rhombuses.<br \/>\n(b) Rectangles and squares.<\/p>\n<p>Ex 3.4 Class 8 Maths Question 3.<br \/>\nExplain how a square is<br \/>\n(i) a quadrilateral<br \/>\n(ii) a parallelogram<br \/>\n(iii) a rhombus<br \/>\n(iv) a rectangle<br \/>\nSolution:<br \/>\n(i) Square is a quadrilateral because it is closed with four line segments.<br \/>\n(ii) Square is a parallelogram due to the following properties:<br \/>\n(a) Opposite sides are equal and parallel.<br \/>\n(b) Opposite angles are equal.<br \/>\n(iii) Square is a rhombus because its all sides are equal and opposite sides are parallel.<br \/>\n(iv) Square is a rectangle because its opposite sides are equal and has equal diagonal.<\/p>\n<p>Ex 3.4 Class 8 Maths Question 4.<br \/>\nName the quadrilaterals whose diagonals<br \/>\n(i) bisect each other<br \/>\n(ii) are perpendicular bisectors of each other<br \/>\n(iii) are equal<br \/>\nSolution:<br \/>\n(i) Parallelogram, rectangle, square and rhombus<br \/>\n(ii) Square and rhombus<br \/>\n(iii) Rectangle and square<\/p>\n<p>Ex 3.4 Class 8 Maths Question 5.<br \/>\nExplain why a rectangle is a convex quadrilateral.<br \/>\nSolution:<br \/>\nIn a rectangle, both of its diagonal lie in its interior. Hence, it is a convex quadrilateral.<\/p>\n<p>Ex 3.4 Class 8 Maths Question 6.<br \/>\nABC is a right-angled triangle and O is the midpoint of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106034\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-Q6.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 Q6\" width=\"197\" height=\"111\" \/><br \/>\nSolution:<br \/>\nSince the right-angled triangle ABC makes a rectangle ABCD by the dotted lines.<br \/>\nTherefore OA = OB = OC = OD [Diagonals of a rectangle are equal and bisect each other]\nHence, O is equidistant from A, B and C.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-106042\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-A-1.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 A 1\" width=\"680\" height=\"563\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106043\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-A-2.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 A 2\" width=\"572\" height=\"207\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106044\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-A-3.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 A 3\" width=\"585\" height=\"310\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106045\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-A-4.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 A 4\" width=\"620\" height=\"247\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-106046\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-for-Class-8-Maths-Chapter-3-Understanding-Quadrilaterals-Ex-3.4-A-5.png\" alt=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 A 5\" width=\"645\" height=\"133\" \/><\/p>\n<p><strong> <\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.4 Ex 3.4 Class 8 Maths Question 1. State [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class-8\/maths\/ncert-solutions-for-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4\/"},"categories":[13,19,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Get NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 on Infinity Learn.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-8\/maths\/ncert-solutions-for-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 - 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