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4-6
TriangleCongruence:
Congruence: CPCTC
CPCTC
4-6 Triangle
Warm Up
Lesson Presentation
Lesson Quiz
Holt Geometry
4-6 Triangle Congruence: CPCTC
Warm Up
1. If ∆ABC  ∆DEF, then A 
? and BC 
D
? .
EF
2. If 1  2, why is a||b?
Converse of Alternate
Interior Angles Theorem
3. List methods used to prove two triangles congruent.
SSS, SAS, ASA, AAS
Holt Geometry
4-6 Triangle Congruence: CPCTC
Objective
Use CPCTC to prove parts of triangles
are congruent.
Holt Geometry
4-6 Triangle Congruence: CPCTC
Vocabulary
CPCTC
Holt Geometry
4-6 Triangle Congruence: CPCTC
Note 47
CPCTC is an abbreviation for the phrase
“Corresponding Parts of Congruent
Triangles are Congruent.” It can be used
as a justification in a proof after you have
proven two triangles congruent.
Holt Geometry
4-6 Triangle Congruence: CPCTC
Remember!
SSS, SAS, ASA, AAS use corresponding
parts to prove triangles congruent. CPCTC
uses congruent triangles to prove
corresponding parts congruent.
Holt Geometry
4-6 Triangle Congruence: CPCTC
Example 1: Engineering Application
A and B are on the edges
of a ravine. What is AB?
Holt Geometry
4-6 Triangle Congruence: CPCTC
Example 2
Given: PR bisects QPS and QRS.
Prove: PQ  PS
Holt Geometry