Triangle Congruence Proofs with CPCTC

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What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

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What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used after proving triangles are congruent.

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What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., AB = AB.

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What is the SSS Congruence Postulate?

Back

The SSS (Side-Side-Side) Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

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What is the SAS Congruence Postulate?

Back

The SAS (Side-Angle-Side) Congruence Postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

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What is the Alternate Interior Angles Theorem?

Back

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

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What is the Alternate Exterior Angles Theorem?

Back

The Alternate Exterior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

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What is the Same-Side Interior Angles Postulate?

Back

The Same-Side Interior Angles Postulate states that if two parallel lines are cut by a transversal, then the same-side interior angles are supplementary.

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How do you prove triangles are congruent using CPCTC?

Back

After proving two triangles are congruent using postulates or theorems, you can state that their corresponding parts are also congruent.

Front

What is the definition of congruent triangles?

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Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.