Triangle Congruence Theorems

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 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 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 corresponding 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 only 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 can be used to prove the triangles are congruent if two sides and the included angle are known?

Back

SAS (Side-Angle-Side) theorem can be used.

Front

Which triangle congruence theorem is specifically for right triangles?

Back

HL (Hypotenuse-Leg) theorem is specifically for right triangles.

Front

Which of the following is NOT a triangle congruence theorem: HL, SAS, AAS, AAA?

Back

AAA (Angle-Angle-Angle) is NOT a triangle congruence theorem.

Front

If two triangles have two angles and a non-included side equal, which theorem applies?

Back

AAS (Angle-Angle-Side) theorem applies.

Front

What is the significance of the included angle in the SAS theorem?

Back

The included angle is the angle formed between the two sides being compared, and it is crucial for establishing congruence.