Question

Which congruence theorem proves △GHI≅△JKL ?

(1 point)
Responses

ASA Theorem
ASA Theorem

SSS Theorem
SSS Theorem

SAS Theorem
SAS Theorem

AAS Theorem

Answer 1

To determine which congruence theorem proves that \( \triangle GHI \cong \triangle JKL \), we need to know how the triangles are positioned and what information is given about their sides and angles.

Here’s a quick overview of the congruence theorems:

1. **ASA (Angle-Side-Angle) Theorem**: Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
2. **SSS (Side-Side-Side) Theorem**: All three sides of one triangle are equal to all three sides of another triangle.
3. **SAS (Side-Angle-Side) Theorem**: Two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.
4. **AAS (Angle-Angle-Side) Theorem**: Two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle.

Without specific details about the angles and sides of triangles \( GHI \) and \( JKL \), we cannot definitively choose one of the theorems. However, you can determine the correct theorem based on the information you have about corresponding sides and angles of these triangles.

If you provide more information about the triangles, I can help you identify the appropriate congruence theorem!