{"id":3026,"date":"2022-12-02T12:00:57","date_gmt":"2022-12-02T12:00:57","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=3026"},"modified":"2023-01-31T06:55:50","modified_gmt":"2023-01-31T06:55:50","slug":"ncert-solutions-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-4\/","title":{"rendered":"NCERT Solutions Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 8 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 3 (Understanding Quadrilaterals)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 8 Mathematics <strong>Chapter &#8211; 3 Understanding Quadrilaterals <\/strong>Exercise 3.4 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<h4><span style=\"color: #000000;\"><strong>Chapter 3: Understanding Quadrilaterals<\/strong><\/span><\/h4>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 3.1<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 3.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths-chapter-3-understanding-quadrilaterals-ex-3-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 8 Maths Ex &#8211; 3.3<\/a><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 3.4\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. State whether True or False.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(a)<\/strong> All rectangles are squares.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(b)<\/strong> All rhombuses are parallelograms.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(c)<\/strong> All squares are rhombuses and also rectangles.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(d)<\/strong> All squares are not parallelograms.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(e)<\/strong> All kites are rhombuses.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(f)<\/strong> All rhombuses are kites.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(g)<\/strong> All parallelograms are trapeziums.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(h)<\/strong> All squares are trapeziums.<\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;<\/span><\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(a)<\/strong> All rectangles are squares.\u00a0 <strong>(False)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(b)<\/strong> All rhombuses are parallelograms. <strong>(True)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(c)<\/strong> All squares are rhombuses and also rectangles. <strong>(True)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(d)<\/strong> All squares are not parallelograms. <strong>(False)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(e)<\/strong> All kites are rhombuses. <strong>(False)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(f)<\/strong> All rhombuses are kites. <strong>(True)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(g)<\/strong> All parallelograms are trapeziums. <strong>(True)<\/strong><br \/>\n<\/span><span style=\"color: #000000;\"><strong>(h)<\/strong> All squares are trapeziums. <strong>(True)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Identify all the quadrilaterals that have.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(a) <\/strong>four sides of equal length<strong><br \/>\n(b) <\/strong>four right angles<\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">(a) Rhombus and square have all four sides of equal length.<br \/>\n<\/span><span style=\"color: #000000;\">(b) Square and rectangle have four right angles.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. Explain how a square is<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) <\/strong>a quadrilateral<br \/>\n<strong>(ii) <\/strong>a parallelogram<br \/>\n<strong>(iii)<\/strong> a rhombus<strong><br \/>\n(iv) <\/strong>a rectangle<\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;<br \/>\n<\/span><\/strong><span style=\"color: #000000;\"><strong>(i)<\/strong> Square is a quadrilateral because it has four sides.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(ii)<\/strong> Square is a parallelogram because it\u2019s opposite sides are parallel and opposite angles are equal.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(iii)<\/strong> Square is a rhombus because all the four sides are of equal length and diagonals bisect at right angles.<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(iv)<\/strong> Square is a rectangle because each interior angle, of the square, is 90\u00b0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Name the quadrilaterals whose diagonals.<br \/>\n<\/strong><\/span><span style=\"color: #000000;\"><strong>(i) <\/strong>bisect each other<br \/>\n<strong>(ii) <\/strong>are perpendicular bisectors of each other<br \/>\n<strong>(iii) <\/strong>are equal<\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;<br \/>\n<\/span><\/strong><span style=\"color: #000000;\"><strong>(i)<\/strong> Parallelogram, Rhombus, Square and Rectangle<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(ii)<\/strong> Rhombus and Square<br \/>\n<\/span><span style=\"color: #000000;\"><strong>(iii) <\/strong>Rectangle and Square<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Explain why a rectangle is a convex quadrilateral.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;\u00a0 <\/span><\/strong><span style=\"color: #000000;\">A rectangle is a convex quadrilateral because both of its diagonals lie inside the rectangle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. ABC is a right-angled triangle and O is the mid-point 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\" decoding=\"async\" class=\"alignnone size-full wp-image-3061\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-8-Maths-Ex-3.4-Q-6.png\" alt=\"NCERT Maths Solutions Class 8\" width=\"293\" height=\"162\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><strong><span style=\"color: #000000;\">Solution &#8211;<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">AD and DC are drawn so that AD || BC and AB || DC<br \/>\n<\/span><span style=\"color: #000000;\">AD = BC and AB = DC<br \/>\n<\/span><span style=\"color: #000000;\">ABCD is a rectangle as opposite sides are equal and parallel to each other and all the\u00a0interior angles are of 90\u00b0.<br \/>\n<\/span><span style=\"color: #000000;\">In a rectangle, diagonals are of equal length and also bisect each other.<br \/>\n<\/span><span style=\"color: #000000;\">Hence, AO = OC = BO = OD<br \/>\n<\/span><span style=\"color: #000000;\">Thus, O is equidistant from A, B and C.<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"1\">\n<tbody>\n<tr style=\"height: 32px;\">\n<td style=\"width: 100%; background-color: #f2e079; text-align: center; height: 32px;\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong>NCERT Class 8<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 8 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 8 Mathematics<\/a>\u00a0<\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-sanskrit-ruchira\/\" target=\"_blank\" rel=\"noopener\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\">NCERT Solutions Class 8 Sanskrit<\/span><\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 100%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt;\"><strong><span style=\"font-family: georgia, palatino, serif; font-size: 12pt;\"><a class=\"row-title\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-8-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 8 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 8 Mathematics\u00a0 Chapter &#8211; 3 (Understanding Quadrilaterals)\u00a0 The NCERT Solutions in English Language for Class 8 Mathematics Chapter &#8211; 3 Understanding Quadrilaterals Exercise 3.4 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 3: Understanding Quadrilaterals NCERT Solution Class 8 Maths Ex &#8211; 3.1 NCERT [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[442],"tags":[448,449,445,5],"class_list":["post-3026","post","type-post","status-publish","format-standard","hentry","category-class-8-maths","tag-ncert-class-8-maths-chapter-3-understanding-quadrilaterals-in-english","tag-ncert-solutions-class-8-maths-chapter-3-in-english","tag-ncert-solutions-class-8-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"NCERT Solutions Class 8 Mathematics\u00a0Chapter - 3 (Understanding Quadrilaterals)\u00a0The NCERT Solutions in English 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