ASA and AAS Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What is the definition of congruent triangles?

Back

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

Front

How can you determine if two triangles are congruent using ASA?

Back

To determine if two triangles are congruent using ASA, check if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

How can you determine if two triangles are congruent using AAS?

Back

To determine if two triangles are congruent using AAS, check 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.

Front

What is the definition of a bisector in geometry?

Back

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

Front

What is the definition of a midpoint?

Back

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

Front

If two triangles have two pairs of equal angles, what can be concluded about their congruence?

Back

If two triangles have two pairs of equal angles, they are congruent by the AAS criterion.

Front

If two triangles have one pair of equal angles and the included side is equal, what can be concluded?

Back

If two triangles have one pair of equal angles and the included side is equal, they are congruent by the ASA criterion.