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Ex 7.1, 1 - In quadrilateral ACBD, AC = AD & AB bisects ∠A - SAS

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Ex 7.1, 1 In quadrilateral ACBD, AC = AD and AB bisects ∠A (See the given fig.). Show that ΔABC ≅ ΔABD. What can you say about BC and BD? Given: AC = AD AB bisects ∠ A i.e. ∠ ∠CAB = ∠DAB To prove: ΔABC ≅ ΔABD Proof: In ΔABC and ΔABD, AB = AB ∠CAB = ∠DAB AC = AD ∴ ΔABC ≅ ΔABD ∴ BC = BD Therefore, BC and BD are of equal length.

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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.