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luke8ball

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**Geometry Triangle Congruence - **Edited to include diagram****

## Homework Statement

Hi! The three simple geometry problems are in the attached photo. Sorry if they're difficult to read. I haven't seen this information in so long, and could use some help. :D

Can you use the given information to determine that (AB) = (BC) ̅? Justify your answer.

## The Attempt at a Solution

1. I would say that we cannot conclude AB = BC, because we have ***, which you can't conclude anything from.

2. Yes, AB = BC, because we have two right triangles, BE = BE, and AE = EC. Thus the hypotenuses must be the same?

3. I feel like the answer is yes here. Can one say that BD bisects angle ABC? Therefore, we have ASA?

Thanks a lot guys/girls!

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