Triangle Congruence Proofs

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What is Triangle Congruence?

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Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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What does CPCTC stand for?

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CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding parts of triangles are equal after establishing triangle congruence.

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What is the Reflexive Property of Congruence?

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What is the SAS Congruence Postulate?

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

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What is the SSS Congruence Postulate?

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

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What is the ASA Congruence Postulate?

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The ASA (Angle-Side-Angle) Congruence Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

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What is the AAS Congruence Theorem?

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The AAS (Angle-Angle-Side) Congruence Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

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What is the Vertical Angles Theorem?

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The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.

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What is the definition of an Angle Bisector?

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An angle bisector is a ray that divides an angle into two equal parts.

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What is the Alternate Interior Angles Theorem?

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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.