Triangle Congruence Practice

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating 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.

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the criterion for triangle congruence if only the lengths of the sides are known?

Back

The criterion is SSS (Side-Side-Side). If all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Front

What is the criterion for triangle congruence if two sides and the included angle are known?

Back

The criterion is SAS (Side-Angle-Side). If two sides and the angle between them in one triangle are equal to two sides and the included angle in another triangle, the triangles are congruent.

Front

What is the criterion for triangle congruence if two angles and the included side are known?

Back

The criterion is ASA (Angle-Side-Angle). If two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle, the triangles are congruent.

Front

What is the criterion for triangle congruence if two angles and a non-included side are known?

Back

The criterion is AAS (Angle-Angle-Side). If two angles and a side not between them in one triangle are equal to two angles and the corresponding side in another triangle, the triangles are congruent.

Front

What does 'not enough information' mean in the context of triangle congruence?

Back

'Not enough information' means that the given data about the triangles is insufficient to determine if the triangles are congruent using any of the established criteria (SSS, SAS, ASA, AAS).

Front

What additional information is needed to prove two triangles are congruent by SAS?

Back

To prove two triangles are congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.