Question

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



(1 point)
Responses

SSS
SSS

HL
HL

AAS
AAS

ASA
ASA

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

SAS
SAS

Answer 1

To determine the appropriate theorem for proving triangles congruent, we would typically need specific information regarding the sides and angles of the triangles in question. However, without the specific details, I can guide you on when to use each of the options you provided:

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

2. **SAS (Side-Angle-Side)**: If two sides of one triangle are equal to two sides of another triangle and the included angle between those sides is equal, the triangles are congruent.

3. **ASA (Angle-Side-Angle)**: If two angles and the included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

4. **AAS (Angle-Angle-Side)**: If two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle, the triangles are congruent.

5. **HL (Hypotenuse-Leg)**: This theorem specifically applies 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, the triangles are congruent.

Based on this information, you should apply the theorem that corresponds to the specific scenario provided in your triangle problem. If none of the theorems can apply due to lack of sufficient information, then the correct response would be “Not Possible to prove congruency with the given information.”

Please select the correct theorem according to any specific information given about the triangles.