Question

triangle abc ad is bisector of angle a show that triangle abd congruent cad

Answer 1

in abd andcad
angle bad= angle cad[given]
ad =ad[common]
bd=dc[as median of adivides the side into two equal parts]
hence abd is congruent to triangle cad by sas criteria

Answer 2

Hola!

Given= triangle ABC and bisector (ad).
To prove = ABD congruent to CAD
Proof= In triangles ABD & CAD, we have

1. AD=AD (common)
2. angle BAD=CAD (Common angle)
3. BD=CD (AD bisects BC)
Therefore, triangle ABD=~ CAD

Hence proved!