Ch.4 SAS/ASA/SSS/AAS Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the criteria for triangle congruence using SAS?

Back

The criteria for triangle congruence using SAS is that two sides and the angle between them in one triangle must be congruent to two sides and the angle between them in another triangle.

Front

What is the criteria for triangle congruence using ASA?

Back

The criteria for triangle congruence using ASA is that two angles and the side between them in one triangle must be congruent to two angles and the side between them in another triangle.

Front

What is the criteria for triangle congruence using SSS?

Back

The criteria for triangle congruence using SSS is that all three sides of one triangle must be congruent to all three sides of another triangle.

Front

What is the criteria for triangle congruence using AAS?

Back

The criteria for triangle congruence using AAS is that two angles and a non-included side of one triangle must be congruent to two angles and the corresponding non-included side of another triangle.

Front

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

Back

If two triangles have two pairs of congruent angles, the triangles are congruent by the ASA postulate.

Front

If two triangles have two pairs of congruent sides and the included angle, what can be concluded about the triangles?

Back

If two triangles have two pairs of congruent sides and the included angle, the triangles are congruent by the SAS postulate.