Triangle Congruence

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides of one triangle are equal to two sides of another triangle, and the included angle is equal, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

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 Angle-Angle-Side (AAS) Congruence Theorem?

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, then the triangles are congruent.

Front

What is the definition of a bisector in geometry?

Back

A bisector is a line or segment that divides an angle or a segment into two equal parts.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

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 when the triangles are congruent.

Front

What is the definition of the Reflexive Property of Congruence?

Back

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

Front

What is the definition of the Transitive Property of Congruence?

Back

The Transitive Property states that if two figures are congruent to a third figure, then they are congruent to each other.

Front

What is the definition of the Isosceles Triangle Theorem?

Back

The Isosceles Triangle Theorem states that if two sides of a triangle are equal, then the angles opposite those sides are also equal.