Respuesta :

In order to prove that the triangles are congruent, we can use the following statements and reasons:

2.

Statement: Angles ADB and DBC are congruent.

Reason: Alternate interior angles.

3.

Statement: Angles CDB and DBA are congruent.

Reason: Alternate interior angles.

4.

Statement: segment BD is congruent to segment BD.

Reason: Reflexive property of equality.

5.

Statement: Triangle ABD congruent to triangle CDB.

Reason: ASA case of congruency.