In quadrilateral ACBD, AC = AD and AB bisects ∠A. Show that ΔABC � – InterviewSolution

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In quadrilateral ACBD, AC = AD and AB bisects ∠A. Show that ΔABC ≅ ΔABD What can you say about BC and BD ?

Answer»

Given that AC = AD

∠BAC = ∠BAD (∵ AB bisects ∠A)

Now in ΔABC and ΔABD

AC = AD (∵ given)

∠BAC = ∠BAD (Y given)

AB = AB (common side)

∴ ΔABC ≅ ΔABD

(∵ SAS congruence rule)

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