Question

What theorem below can be used to prove the two triangles congruent with the information given?



(1 point)
Responses

HL
HL

AAS
AAS

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

SAS
SAS

ASA
ASA

SSS
SSS

Answer 1

To determine which theorem can be used to prove the two triangles congruent, we need more specific information about the triangles, such as the lengths of sides or the measures of angles. However, I can provide an overview of the congruency theorems listed:

1. **HL (Hypotenuse-Leg)**: Used for right triangles, requires one side (leg) and the hypotenuse to be congruent.

2. **AAS (Angle-Angle-Side)**: Two angles and a non-included side are known to be congruent.

3. **SAS (Side-Angle-Side)**: Two sides and the included angle between them are congruent.

4. **ASA (Angle-Side-Angle)**: Two angles and the included side between them are congruent.

5. **SSS (Side-Side-Side)**: All three sides of one triangle are congruent to the three sides of another triangle.

Given the options, please provide the specific information or conditions given about the triangles, and I'll help identify which theorem applies. If no specific information is available, "Not Possible to prove congruency with the given information" may be the appropriate choice.