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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
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