Geometry: 5.2-5.4 Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem 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 SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem that states if all three sides of one triangle are equal to all three sides 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 theorem 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 theorem that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

Which triangle congruence theorem is not valid?

Back

SSA (Side-Side-Angle) is not a valid postulate for proving triangle congruence.

Front

If two triangles have two sides of one triangle equal to two sides of another triangle and the included angle is equal, what theorem can be used?

Back

SAS (Side-Angle-Side) can be used to prove the triangles are congruent.

Front

If two triangles have all three sides equal, which theorem applies?

Back

SSS (Side-Side-Side) applies to prove the triangles are congruent.

Front

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, which theorem can be used?

Back

AAS (Angle-Angle-Side) can be used to prove the triangles are congruent.

Front

In a right triangle, if the hypotenuse and one leg are equal to the hypotenuse and one leg of another right triangle, which theorem applies?

Back

HL (Hypotenuse-Leg) applies to prove the triangles are congruent.