We will solve as follows:
*Yes, both triangles are congruent.
***Reasoning***
*We have that segments AB & BC are congruent.
*We have that angles ABD & DBC will also be congruent [Both are 90° given that they are the angles formed from a straight line, so the complementary angle is also 90°.]
*We have that the segment BD is a common side.
So, by SAS both triangles are congruent.
