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Ex 8.1, 7 - ABCD is a rhombus. Show that diagonal AC bisects - Opposite sides of parallelogram

Ex 8.1, 7 - Chapter 8 Class 9 Quadrilaterals - Part 2

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Transcript

Ex 8.1, 4 ABCD is a rhombus. Show that diagonal AC bisects ∠ A as well as ∠ C and diagonal BD bisects ∠ B as well as ∠ D. Given: Rhombus ABCD To prove: AC bisects ∠ A, i.e. ∠ 1 = ∠ 2 & bisects ∠ C, i.e. ∠ 3 = ∠ 4 (ii) BD bisects ∠ D & ∠ B Proof: In ∆ABC, AB = BC So, ∠4 = ∠2 Hence, AC bisects ∠ C & ∠ A Similarly we can prove that 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.