which congruence theorem can be used to prove △bda≅△bdc?\nhl\nssa\naas\nsss

which congruence theorem can be used to prove △bda≅△bdc?\nhl\nssa\naas\nsss

which congruence theorem can be used to prove △bda≅△bdc?\nhl\nssa\naas\nsss

Answer

Explanation:

Step1: Identify equal sides

We see that $BD = BD$ (common side), $AD = CD$ (marked with double - hash), $AB = CB$ (marked with single - hash).

Step2: Recall congruence theorems

The SSS (Side - Side - Side) congruence theorem states that if three sides of one triangle are equal to three corresponding sides of another triangle, the two triangles are congruent. Here, all three pairs of corresponding sides of $\triangle BDA$ and $\triangle BDC$ are equal.

Answer:

D. SSS