CPCTC, SAS, ASA, SSS

Front

What does CPCTC stand for?

Back

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

Front

What is the SSS Congruence Theorem?

Back

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

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem 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.

Front

What is the ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem 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.

Front

What is the SSS Congruence Theorem used for?

Back

The SSS Congruence Theorem is used to prove that two triangles are congruent based on the equality of their three corresponding sides.

Front

What is the SAS Congruence Theorem used for?

Back

The SAS Congruence Theorem is used to prove that two triangles are congruent based on the equality of two sides and the included angle.

Front

What is the ASA Congruence Theorem used for?

Back

The ASA Congruence Theorem is used to prove that two triangles are congruent based on the equality of two angles and the included side.

Front

If ∆ABC ≅ ∆DEF, what can be said about their corresponding angles and sides?

Back

If ∆ABC ≅ ∆DEF, then corresponding angles are equal (∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F) and corresponding sides are equal (AB = DE, BC = EF, AC = DF).

Front

In congruent triangles, what can be said about corresponding parts?

Back

In congruent triangles, corresponding parts are always equal.

Front

If ∆XYZ ≅ ∆KLM, what is true about ∠Y?

Back

If ∆XYZ ≅ ∆KLM, then ∠Y ≅ ∠L.