In the given figure, AD⊥BC and AD is the bisector of angle BAC. Then, ΔABD ≅ ΔACD by RHS

Question

State whether the statement are True or False.

In the given figure, AD⊥BC and AD is the bisector of angle BAC. Then, ΔABD ≅ ΔACD by RHS

Answer 1

False

In ΔABD and ΔACD,

AD = AD     [common side]

∠BAD = ∠CAD    [AD is the bisector of ∠BAC]

∠ADB = ∠ADC = 90°

By ASA congruence criterion,

ΔABD ≅ ΔACD