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Ex 8.1, 8 - ABCD is a rectangle in which diagonal AC bisects - Ex 8.1

Ex 8.1, 8 - Chapter 8 Class 9 Quadrilaterals - Part 2

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Ex 8.1, 8 - Chapter 8 Class 9 Quadrilaterals - Part 3

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Ex 8.1, 8 ABCD is a rectangle in which diagonal AC bisects A as well as C. Show that: ABCD is a square Given: Rectangle ABCD where AC bisects A, i.e. 1 = 2 & AC bisects C, i.e. 3 = 4 To prove: ABCD is a square Proof: A square is a rectangle when all sides are equal Now, AD BC & AC as transversal 1 = 4 Now, 1 = 2 & 1 = 4 Hence, 2 = 4 In ABC, 2 = 4 So, BC = AB But BC = AD & AB = DC From (1) & (2) AB = BC = CD = DA So, ABCD is a rectangle with all sides equal Hence, ABCD is a square. Ex 8.1, 8 ABCD is a rectangle in which diagonal AC bisects A as well as C. Show that: (ii) diagonal BD bisects B as well as D. In previous part we proved, ABCD is a square And diagonals of a square bisects its angles So, Diagonal BD bisects B & D. Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.