CPCTC Proofs Worksheet
This worksheet helps grade 9 students practice CPCTC proofs in geometry, focusing on identifying congruent parts of congruent triangles.
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CPCTC Proofs Worksheet
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Read each problem carefully and provide a complete proof. Remember to state your given information, what you need to prove, and all steps with justifications. CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent'.
1. Given: AB || DC and AD || BC. Prove: ΔABC ≅ ΔCDA. Then use CPCTC to prove AB ≅ CD.
2. Given: M is the midpoint of AB and CD. Prove: ΔAMC ≅ ΔBMD. Then use CPCTC to prove AC || BD.
3. If two triangles are congruent, then their corresponding sides and corresponding angles are . This is abbreviated as .
4. To prove that two segments or angles are congruent using CPCTC, you must first prove that the containing those parts are .
5. CPCTC can be used as the first step in a geometric proof.
True
False
6. If ΔXYZ ≅ ΔPQR, then ∠Y ≅ ∠Q by CPCTC.
True
False
7. Given: AC ≅ BD and AB || CD. Prove: AD || BC.
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