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Unit 5 · Triangle Congruence and ProofProof-based

5.7CPCTC

Quick Answer

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. It is used as a reason AFTER proving two triangles congruent to conclude that specific corresponding parts are equal.

Essential Question

How does CPCTC extend a triangle congruence proof to prove that specific sides or angles are congruent?

Learning Goals

  • 1State what CPCTC means and when it can be used.
  • 2Identify which corresponding parts can be concluded from a congruence statement.
  • 3Write proofs that use CPCTC as a final step.
  • 4Understand that CPCTC can only be used after triangle congruence is established.

Key Vocabulary

CPCTC

Corresponding Parts of Congruent Triangles are Congruent — a reason used after proving triangles congruent.

Full lesson content coming soon

Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.