Bd is perpendicular to ac and bisects angle abc. Which triangle congruence theorem would be used that show that triangle adb is congruent to triangle cdb

Answer 1

The 2 triangles are right triangles with common leg and one angle equal by hypothesis; therefore congruent.

2 right triangles with a leg and angle equal each to each are congruent...and if further proof necessary, ASA is the more general theorem.