Flashcard CPCTC

Front

What does CPCTC stand for?

Back

Corresponding parts of congruent triangles are congruent.

Front

What is the SSS triangle congruence theorem?

Back

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

Front

What is the SAS triangle congruence theorem?

Back

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

What is the ASA triangle congruence theorem?

Back

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.

Front

What is the AAS triangle congruence theorem?

Back

If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.

Front

What is the definition of a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the definition of congruent triangles?

Back

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

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

What is the definition of a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

How can you prove two triangles are congruent using CPCTC?

Back

By showing that all corresponding parts (sides and angles) of the triangles are congruent after establishing their congruence through SSS, SAS, ASA, or AAS.