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

Answer 1

To determine which theorem can be used to prove △GHI ≅ △GJI, we need to consider the information typically used for triangle congruence:

1. SAS (Side-Angle-Side) Congruence Theorem: Two triangles are congruent if two sides and the included angle of one triangle are respectively equal to two sides and the included angle of another triangle.

2. SSS (Side-Side-Side) Congruence Theorem: Two triangles are congruent if all three sides of one triangle are equal to all three sides of another triangle.

3. ASA (Angle-Side-Angle) Congruence Theorem: Two triangles are congruent if two angles and the included side of one triangle are respectively equal to two angles and the included side of another triangle.

4. AAS (Angle-Angle-Side) Congruence Theorem: Two triangles are congruent if two angles and a non-included side of one triangle are respectively equal to two angles and a corresponding non-included side of another triangle.

To accurately select the correct theorem, I would need more details about the specific sides and angles provided in your diagram or a description of the triangle relationships. However, here's a guideline on how to use the options based on typical cases:

• If two sides and the included angle are known: Use SAS.
• If all three corresponding sides are known: Use SSS.
• If two angles and the included side are known: Use ASA.
• If two angles and a non-included side are known: Use AAS.

If you can provide more details from the diagram, I can help you choose the appropriate theorem more accurately!