Question

in quadrilateral ACBD, AC=AD and AB bisects the angle A. show that BC=BD​

Answer 1

Step-by-step explanation:

Given: In quadrilateral ABCD,

AC = AD & AB bisects ∠A i.e, ∠CAB = ∠DAB

To prove,

ΔABC ≅ ΔABD

Proof,

In ΔABC & ΔABD,

AB = AB (Common)

AC = AD (Given)

∠CAB = ∠DAB (AB is bisector)

Hence, ΔABC ≅ ΔABD. (by SAS congruence rule)

Then, BC= BD (by CPCT)

Thus, BC & BAD are equal.

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Answer 2

Step-by-step explanation:

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