CPCTC Proofs Worksheet

Grade 11 Geometry worksheet focusing on CPCTC (Corresponding Parts of Congruent Triangles are Congruent) proofs.

Grade 11 Math GeometryCpctc Proofs

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.B.7CCSS.MATH.CONTENT.HSG.CO.B.8

Topics

GeometryCPCTCProofsCongruent TrianglesHigh School Math

8 sections · Free to use · Printable

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CPCTC Proofs Worksheet

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Read each problem carefully and complete the proofs. Make sure to state your reasons clearly for each step. Remember, CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent'.

1. Given: AB ≅ DE, BC ≅ EF, AC ≅ DF. Prove: ∠A ≅ ∠D.

Statement

Reason

2. Given: AD || BC, AB || DC. Prove: AD ≅ BC.

Statement

Reason

3. If two triangles are congruent, then their parts are also congruent by CPCTC.

4. Before you can use CPCTC in a proof, you must first prove that the are congruent.

5. Which congruence postulate is NOT typically used to prove triangles congruent before applying CPCTC?

SSS (Side-Side-Side)

SSA (Side-Side-Angle)

ASA (Angle-Side-Angle)

HL (Hypotenuse-Leg)

6. CPCTC can be used as a reason in a proof before establishing triangle congruence.

True

False

7. Given: X is the midpoint of WY and VZ. Prove: WV || YZ.

Statement

Reason