Based on the information in the diagram, which theorem can be used to prove △GHI ≅ △GJI ? (1 point) Responses AAS Congruence Theorem AAS Congruence Theorem SSS Congruence Theorem SSS Congruence Theorem SAS Congruence Theorem SAS Congruence Theorem ASA Congruence Theorem ASA Congruence Theorem

Answer 1

To determine which theorem can be used to prove that triangles \( \triangle GHI \) and \( \triangle GJI \) are congruent, we need to analyze the information present in the diagram mentioned in your question.

The appropriate congruence theorems are:

1. AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, the triangles are congruent.
2. ASA (Angle-Side-Angle): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.
3. SSS (Side-Side-Side): If the three sides of one triangle are congruent to the three sides of another triangle, the triangles are congruent.
4. SAS (Side-Angle-Side): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

To accurately identify the theorem you would use, please analyze the specific sides and angles provided in the diagram.

If you can confirm whether you have two angles and a non-included side, two angles and the included side, or two sides and the included angle, you can choose among AAS, ASA, SSS, or SAS respectively.

Without seeing the diagram, I can't specify the exact theorem, but identify which congruent parts are present in triangles \( \triangle GHI \) and \( \triangle GJI \) to select the proper theorem from the options given. If you provide more details about the angles and sides, I can help you pinpoint the exact theorem.