Based on the information in the diagram, which theorem can be used to prove △GHI≅△GJI ?

Question

(1 point)
Responses

SAS Congruence Theorem
SAS Congruence Theorem

SSS Congruence Theorem
SSS Congruence Theorem

AAS Congruence Theorem
AAS Congruence Theorem

ASA Congruence Theorem

Answer 1

To determine which theorem can be used to prove that \( \triangle GHI \cong \triangle GJI \), we would need to analyze the information in the diagram. However, since I cannot see the diagram, I can give you a brief overview of how each theorem works:

1. SAS Congruence Theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

2. SSS Congruence Theorem: If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

3. AAS Congruence Theorem: If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

4. ASA Congruence Theorem: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

You would need to assess which sides and angles are given in the diagram to choose the appropriate theorem. If you can provide information about the relationships of the sides and angles between the two triangles, I can help you identify the correct theorem.