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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.