Question

What theorem can be used to prove the triangles congruent with the given information>



(1 point)
Responses

AAS
AAS

SSS
SSS

HL
HL

ASA
ASA

Not Possible to prove congruency with the given information
Not Possible to prove congruency with the given information

SAS

Answer 1

To determine which theorem can be used to prove triangles congruent, you would need specific information about the triangles given in your question. However, here are the definitions of the congruence theorems mentioned:

1. **AAS (Angle-Angle-Side)**: 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.

2. **SSS (Side-Side-Side)**: If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

3. **HL (Hypotenuse-Leg)**: This is specific to right triangles. 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.

4. **ASA (Angle-Side-Angle)**: 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.

5. **SAS (Side-Angle-Side)**: If two sides and the included angle of one triangle are equal to two sides and the corresponding included angle of another triangle, then the triangles are congruent.

To select the correct option based on your context, please provide the specific information or conditions of the triangles in question. Without that, it's not possible to definitively choose a theorem.