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Using Congruent Triangles Sec 4.5

- GOAL
- To use congruent triangles to write proofs

Corresponding Parts of Congruent Triangles are

Congruent

- To prove triangles congruent, use either
- SSS
- SAS
- ASA
- AAS
- Once you prove two triangles are congruent, then

you can prove that all other corresponding parts

are congruent. The reason is that Corresponding

Parts of Congruent Triangles are Congruent

Example

Given Diagram Prove The two

triangles are congruent by ASA. Now, you can say

that sides BC and AD are congruent because

corresponding parts of congruent triangles are

congruent.

B

C

B

C

A

A

D

D

Two Column Proof

- Given
- Prove

X

P

4

2

W

Z

3

1

Y

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