CPCTC Congruent Triangles

Front

What does CPCTC stand for in the context of congruent triangles?

Back

CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.'

Front

If two triangles are congruent, what can be said about their corresponding sides?

Back

The corresponding sides of congruent triangles are equal in length.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion 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 triangles are congruent.

Front

What is the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion 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 triangles are congruent.

Front

What is the Side-Side-Side (SSS) congruence criterion?

Back

The SSS criterion states that if all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

In the congruence statement ∆ABC ≅ ∆XYZ, which sides are corresponding?

Back

AB corresponds to XY, BC corresponds to YZ, and AC corresponds to XZ.

Front

If ∆PQR ≅ ∆STU, what can be concluded about ∠R and ∠U?

Back

∠R is congruent to ∠U.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures are congruent, meaning they have the same shape and size.

Front

How can you determine if two triangles are congruent using the AAS criterion?

Back

The AAS criterion 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 triangles are congruent.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.