CPCTC Practice

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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 a principle used in geometry to prove that corresponding angles and sides of congruent triangles are equal.

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What is a congruence statement?

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How do you determine if two triangles are congruent?

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Two triangles are congruent if their corresponding sides and angles are equal. This can be proven using congruence postulates such as SSS, SAS, ASA, AAS, or HL.

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What is the SSS Congruence Postulate?

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

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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 equal to two sides and the included angle 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 equal 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 Postulate?

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The AAS (Angle-Angle-Side) Congruence Postulate states that if two angles and a non-included side of one triangle are equal 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 HL Congruence Theorem?

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The HL (Hypotenuse-Leg) Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

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