Geometry CPCTC

Front

What does CPCTC stand for in geometry?

Back

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

Front

What is the definition of congruent triangles?

Back

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

Front

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

Back

If two triangles are congruent, then their corresponding angles are equal.

Front

If ∆ABC ≅ ∆DEF, what can be concluded about side AB?

Back

Side AB is congruent to side DE.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are congruent.

Front

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

Back

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

Front

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

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

If ∆XYZ ≅ ∆PQR, what can be said about angle Y?

Back

Angle Y is congruent to angle Q.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ∆ABC ≅ ∆XYZ, what is the relationship between side AC and side XZ?

Back

Side AC is congruent to side XZ.