Triangle Congruence

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 equal to two sides and the included angle 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 equal to the three sides of another triangle.

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 a non-included side of one triangle are equal to two angles and the corresponding non-included side 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 equal to two angles and the included side 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 triangle are equal to the hypotenuse and one leg of another triangle.

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 two sides equal and the included angle is not equal, are they congruent?

Back

No, they are not congruent. The SAS criterion requires the included angle to be equal.

Front

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

Back

The triangles are congruent by the SSS criterion.

Front

Can two triangles be congruent if they have two angles equal and a non-included side equal?

Back

Yes, they can be congruent by the AAS criterion.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared, and it must be equal for the triangles to be congruent.