Congruent Triangles and CPCTC

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does CPCTC stand for?

Back

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

Front

State the congruence statement for triangles with corresponding sides of equal length.

Back

If two triangles have three pairs of equal corresponding sides, they are congruent.

Front

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

Back

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 (Side-Side-Side) congruence criterion?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

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

Back

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, the triangles are congruent.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are equal in measure.

Front

How do you write a congruence statement for triangles?

Back

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

You need to know the lengths of the sides or the measures of the angles involved.

Front

Back