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Which statement correctly describes the relationship between the triangles in the diagram? (1 point) △ GJH≌ △ JHI by SSS Congruence Theorem. △ GHJ≌ △ IJH by ASA Congruence Theorem. △ HGJ≌ △ HJI by SAS Congruence Theorem. △ GHJ≌ △ JHI by AAS Congruence Theorem.

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To answer your question about the relationship between the triangles described in the statements, we first need to clearly establish the congruence criteria applicable to those triangles.

Here's a quick overview of the congruence theorems mentioned:

  1. SSS (Side-Side-Side) Congruence Theorem: If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

  2. ASA (Angle-Side-Angle) 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.

  3. SAS (Side-Angle-Side) 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.

  4. AAS (Angle-Angle-Side) 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.

Without the actual diagram, I can't definitively state which one of the provided statements is correct. However, generally speaking, you would analyze the triangles based on the provided sides and angles.

If, for instance, triangles GJH and JHI have all three sides equal, then SSS would apply. If you have two angles and the side between them equal, then you use ASA, and so on for SAS or AAS.

In conclusion, you'd evaluate the triangles based on their measurements and angles to identify the correct relationship. If you have the measurements or diagrams to clarify, I can help further!