Question

8. In ∆ABC, AB = AC and AD is the angle bisector of angle A.
Prove that ∆ABD is congruent to ∆ ACD​

Answer 1

Answer:

In ABD and ABC

AB=AC(given)

Angle ABD=Angle ADC (SINCE AD is the median)

Angle BAD =Angle CAD(SINCE ANGLE A is the bisector)

therefore,ABD is congruent to ACD(by A AS)