Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that 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 does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that 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 does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that 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 criteria for triangle congruence using SSS?

Back

For SSS, all three corresponding sides of the triangles must be equal.

Front

What is the criteria for triangle congruence using SAS?

Back

For SAS, two sides and the angle between them in one triangle must be equal to two sides and the angle between them in another triangle.

Front

What is the criteria for triangle congruence using ASA?

Back

For ASA, two angles and the side between them in one triangle must be equal to two angles and the corresponding side in another triangle.

Front

What is the criteria for triangle congruence using AAS?

Back

For AAS, two angles and a non-included side in one triangle must be equal to two angles and the corresponding non-included side in another triangle.

Front

If two triangles have two equal angles, what can be concluded?

Back

If two triangles have two equal angles, they are congruent by the AAS theorem.

Front

If two triangles have two sides of equal length and the included angle is equal, what can be concluded?

Back

If two triangles have two sides of equal length and the included angle is equal, they are congruent by the SAS theorem.