CPCTC and Triangle Proofs Practice

Front

What does CPCTC stand for?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides and angles of congruent triangles are equal.

Front

What is the AAS congruence criterion?

Back

AAS stands for 'Angle-Angle-Side.' It 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 triangles are congruent.

Front

What is the SAS congruence criterion?

Back

SAS stands for 'Side-Angle-Side.' It 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 triangles are congruent.

Front

What is the SSS congruence criterion?

Back

SSS stands for 'Side-Side-Side.' It states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What is the ASA congruence criterion?

Back

ASA stands for 'Angle-Side-Angle.' It states that if two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle, then the triangles are congruent.

Front

What is the HL congruence criterion?

Back

HL stands for 'Hypotenuse-Leg.' It is a specific case for right triangles, stating that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, segment AC is congruent to segment AC.

Front

What is the significance of CPCTC in triangle proofs?

Back

CPCTC is used to justify that corresponding parts of congruent triangles are congruent, which is often necessary to complete a proof.

Front

Which congruence criterion is NOT sufficient to prove triangle congruence?

Back

SSA (Side-Side-Angle) is not sufficient to prove triangle congruence, as it can lead to ambiguous cases.