CPCTC Flashcard

Front

What does CPCTC stand for?

Back

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

Front

What is the significance of CPCTC in geometry?

Back

CPCTC is used to prove that corresponding parts of congruent triangles are equal.

Front

If ∆ABC ≅ ∆XYZ, what can we conclude about the sides and angles?

Back

The corresponding sides and angles of the triangles are equal: AB ≅ XY, BC ≅ YZ, AC ≅ XZ, and ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

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 equal to two angles and the included side of another triangle, 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 equal to the three sides of another triangle, 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 equal to two sides and the included angle of another triangle, the triangles are congruent.

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 we say about their perimeters?

Back

If two triangles are congruent, their perimeters are also equal.

Front

How can you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal.