{"id":27013,"date":"2021-06-29T10:41:04","date_gmt":"2021-06-29T05:11:04","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=27013"},"modified":"2021-06-29T10:41:04","modified_gmt":"2021-06-29T05:11:04","slug":"ncert-solutions-for-class-8-maths-chapter-3-ex-3-4","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-3-ex-3-4\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 3 Understanding Quadrilaterals Ex 3.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.4<\/h2>\n

Question 1.
\nState whether True or False.
\n(a) All rectangles are squares.
\n(b) All rhombuses are parallelograms.
\n(c) All squares are rhombuses and also rectangles.
\n(d) All squares are not parallelograms.
\n(e) All kites are rhombuses.
\n(f) All rhombuses are kites.
\n(g) All parallelograms are trapeziums.
\n(h) All squares are trapeziums.
\nSolution:
\n(a) False
\n(b) True
\n(c) True
\n(d) False
\n(e) False
\n(f) True
\n(g) True
\n(h) True<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nIdentify all the quadrilaterals that have
\n(a) four sides of equal length
\n(b) four right angles.
\nSolution:
\n(a) square, rhombus
\n(b) square, rectangle<\/p>\n

Question 3.
\nExplain how a square is
\n(i) a quadrilateral
\n(ii) a parallelogram
\n(iii) a rhombus
\n(iv) a rectangle
\nSolution:
\n(i) A square is a 4-sided figure, so it is a quadrilateral.
\n(ii) The opposite sides of a square are parallel, so it is a parallelogram.
\n(iii) All the sides of a square are equal, so it is a rhombus.
\n(iv) Each angle of a square is a right-angle, so it is a rectangle.<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nName the quadrilaterals whose diagonals
\n(i) bisect each other
\n(ii) are perpendicular bisectors of each other
\n(iii) are equal
\nSolution:
\n(i) The diagonals of the following quadrilaterals bisect each other.
\nSquare, rectangle, rhombus, and parallelogram
\n(ii) The diagonals are perpendicular bisectors of the following quadrilaterals.
\nSquare and rhombus
\n(iii) The diagonals are equal in the case of square and rectangle.<\/p>\n

Question 5.
\nExplain why a rectangle is a convex quadrilateral.
\nSolution:
\nA rectangle is a convex quadrilateral as both of its diagonals lies in its interior.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nABC 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)
\n\"NCERT
\nSolution:
\nConstruction: Produce B to D such that BO = OD.
\nJoin AD and CD
\nProof: AO = OC (As O is a midpoint of AC)
\nBO = DO (By construction)
\n\u2234 ABCD is a parallelogram.
\n(As diagonals bisect each other)
\nAlso, \u2220B = 90\u00b0
\n\u2234 ABCD is a rectangle
\n\u2234 Diagonal AC = BD
\n\\(\\frac{1}{2}\\) AC = \\(\\frac{1}{2}\\) BD
\nAO = OB
\nAlso, AO = OC
\n\u2234 AO = OB = OC
\n\u2234 O is equidistant from A, B and C.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Exercise 3.4 Question 1. State whether True or False. (a) All rectangles are squares. (b) All rhombuses are parallelograms. (c) All …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-8-maths-chapter-3-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 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals Ex 3.4 Questions and Answers are prepared by our highly skilled subject experts. 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