Which theorem proves the two triangles congruent?

Question

(1 point)
Responses

There is not enough information to prove the two triangles congruent.
There is not enough information to prove the two triangles congruent.

AAS
AAS

ASA
ASA

SSS
SSS

SAS
SAS

HL

Answer 1

To determine which theorem proves two triangles congruent, we first need more information about the triangles in question. Each option corresponds to a specific criteria for triangle congruence:

• AAS (Angle-Angle-Side): If you have two angles and the side opposite one of them, the triangles are congruent.
• ASA (Angle-Side-Angle): If you have two angles and the side between them, the triangles are congruent.
• SSS (Side-Side-Side): If all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
• SAS (Side-Angle-Side): If you have two sides and the angle between them, the triangles are congruent.
• HL (Hypotenuse-Leg): This applies specifically to right triangles and states that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, they are congruent.

Please provide the specific information or properties of the triangles in question, and I can help identify which theorem applies.