Question

State if the triangles ABD and CBD are congruent. If they are, state how you know.

Answer 1

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.