CPCTC Practice

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 angles and sides of congruent triangles are equal.

Front

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

Back

The corresponding angles of congruent triangles are equal.

Front

If ∠C is 40° in triangle ABC and triangle DEF is congruent to triangle ABC, what is the measure of ∠F?

Back

∠F is also 40° because corresponding angles in congruent triangles are equal.

Front

What is the relationship between the sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If triangle GTB is congruent to triangle HAR, what can be said about their corresponding sides?

Back

The corresponding sides of triangles GTB and HAR are equal in length.

Front

Complete the congruence statement: If ΔQRP ≅ ΔQRC, then ____.

Back

∠PQR ≅ ∠CQR.

Front

In the statement ΔMAN ≅ ΔDEN, what does it imply about ∠END?

Back

It implies that ∠END is congruent to ∠ANM.

Front

What is the significance of the symbol '≅' in geometry?

Back

The symbol '≅' indicates that two figures are congruent, meaning they have the same shape and size.

Front

If two triangles have two pairs of equal angles, what can be concluded about the triangles?

Back

The triangles are congruent by the Angle-Angle (AA) criterion for triangle congruence.

Front

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

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.