CPCTC Proofs Worksheet
Practice congruence proofs using CPCTC (Corresponding Parts of Congruent Triangles are Congruent) for Grade 10 Geometry students.
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CPCTC Proofs Practice
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Read each problem carefully and complete the proofs. Show all your work and justifications. Remember that CPCTC can only be used AFTER you have proven two triangles congruent.
1. CPCTC stands for .
2. Before you can use CPCTC, you must first prove that two are congruent.
3. If ΔABC ≅ ΔXYZ, then ∠A corresponds to ∠ , side BC corresponds to side , and AC corresponds to .
1. CPCTC can be used as the first step in a proof.
True
False
2. If two triangles are congruent, then all their corresponding parts are congruent.
True
False
Given: AB || DC and AD || BC
Prove: AB ≅ DC
Given: M is the midpoint of AB and CD.
Prove: AC ≅ BD
Given: PR ≅ SQ, PQ ≅ SR
Prove: ∠P ≅ ∠S