Identifying 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 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 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 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 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, as it can lead to ambiguous cases where two different triangles can be formed.

Front

Are triangles with two equal sides and a non-included angle congruent?

Back

No, triangles with two equal sides and a non-included angle (SSA) are not necessarily congruent.

Front

If two triangles have two angles and a non-included side equal, are they congruent?

Back

No, this is the AAS condition, which does not guarantee congruence.

Front

What is the AAS condition 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

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides and the included angle or specific criteria must be met for congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.