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

State If The Triangles ABD And CBD Are Congruent If They Are State How You Know class=

Sagot :

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.

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