Advanced Triangle Congruence Updated

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence that states 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 criterion for triangle congruence that states 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 criterion for triangle congruence that states 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 criterion for triangle congruence that states 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, then the triangles are congruent.

Front

Which triangle congruence test is NOT valid?

Back

SSA (Side-Side-Angle) is NOT a valid test for triangle congruence.

Front

What additional information is needed for two triangles to be congruent by SSS?

Back

The lengths of all three sides of both triangles must be known.

Front

What additional information is needed for two triangles to be congruent by SAS?

Back

The lengths of two sides and the measure of the included angle must be known.

Front

What additional information is needed for two triangles to be congruent by ASA?

Back

The measures of two angles and the length of the included side must be known.

Front

What additional information is needed for two triangles to be congruent by AAS?

Back

The measures of two angles and the length of a non-included side must be known.

Front

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

Back

The triangles are congruent by the AAS criterion.