# Using Congruent Triangles Sec 4.5 - PowerPoint PPT Presentation

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## Using Congruent Triangles Sec 4.5

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### Using Congruent Triangles. Sec 4.5. GOAL: To use congruent triangles to write proofs ... Triangles are Congruent. To prove triangles congruent, use either: ... – PowerPoint PPT presentation

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Title: Using Congruent Triangles Sec 4.5

1
Using Congruent Triangles Sec 4.5
• GOAL
• To use congruent triangles to write proofs

2
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

3
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
4
Two Column Proof
• Given
• Prove

X
P
4
2
W
Z
3
1
Y