CPCTC Proofs Worksheet
Grade 12 Geometry worksheet focusing on CPCTC (Corresponding Parts of Congruent Triangles are Congruent) proofs.
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Standards
Topics
CPCTC Proofs
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Read each problem carefully and provide a complete two-column proof for each statement. Remember to state your reasons clearly.
1. Given: AB || DE, C is the midpoint of AE. Prove: BC ≅ DC
2. Given: AD ≅ CD, BD bisects ∠ADC. Prove: AB ≅ CB
3. Given: FG || JK, FG ≅ JK. Prove: FH ≅ KH
4. CPCTC can be used as a reason to prove triangles congruent.
True
False
5. CPCTC stands for .
6. Before you can use CPCTC in a proof, you must first prove that two are .
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