Triangle Congruence Theorems

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and the non-included side of one triangle are equal to two angles and the non-included side 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 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 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 used when two angles and a non-included side are known?

Back

AAS (Angle-Angle-Side) is used when two angles and a non-included side are known to prove triangle congruence.

Front

Which triangle congruence theorem is used when two sides and the included angle are known?

Back

SAS (Side-Angle-Side) is used when two sides and the included angle are known to prove triangle congruence.

Front

Which triangle congruence theorem is used when all three sides are known?

Back

SSS (Side-Side-Side) is used when all three sides are known to prove triangle congruence.

Front

Which triangle congruence theorem is used when two angles and the included side are known?

Back

ASA (Angle-Side-Angle) is used when two angles and the included side are known to prove triangle congruence.

Front

Can SSA (Side-Side-Angle) be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence and is known as the 'Ambiguous Case'.