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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