Triangle Congruence

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 SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have three equal sides, what can we conclude about them?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two equal sides and the included angle is equal, what can we conclude about them?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have two equal angles and the included side is equal, what can we conclude about them?

Back

The triangles are congruent by the ASA criterion.

Front

If two triangles have two equal angles and a non-included side is equal, what can we conclude about them?

Back

The triangles are congruent by the AAS criterion.

Front

Can two triangles be congruent if they only have one side equal?

Back

No, having only one side equal is not sufficient to conclude that two triangles are congruent.