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

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04-11-2022
Mathematics

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

Sagot :

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SailaO572373 SailaO572373 · Answer 1 · 2022-11-04T06:22:40-04:00

SailaO572373 SailaO572373

04-11-2022

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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