Identifying Triangle Congruence Criteria

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be determined to be congruent with only two sides known unless the included angle is also known (SAS) or the third side is known (SSS).

Front

What is the SSA condition in triangle congruence?

Back

The SSA condition (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have two angles and a non-included side congruent, what can be concluded?

Back

The triangles are congruent by the AAS criterion.

Front

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

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have all three sides congruent, what can be concluded?

Back

The triangles are congruent by the SSS criterion.