Ex 8.1, 4 - Chapter 8 Class 9 Quadrilaterals
Last updated at Dec. 13, 2024 by Teachoo
Last updated at Dec. 13, 2024 by Teachoo
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
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo