Triangle Congruence Theorems & Proofs

Front

What is the Vertical Angle Theorem?

Back

The Vertical Angle Theorem states that vertical angles are congruent.

Front

What does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Front

Which triangle congruence theorem is NOT valid?

Back

AAA (Angle-Angle-Angle) is not a valid triangle congruence theorem.

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself.

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a method to prove triangle congruence.

Front

What is the definition of a segment bisector?

Back

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

Front

What is the definition of a midpoint?

Back

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

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, the 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, the triangles are congruent.