Which statement correctly describes the relationship between the triangles in the diagram?(1 point)Responses△HGJ≅△HJI by SAS Congruence Theorem.triangle upper H upper G upper J congruent to triangle upper H upper J upper I  by SAS Congruence Theorem.△GJH≅△JHI by SSS Congruence Theorem.triangle upper G upper J upper H congruent to triangle upper J upper H upper I  by SSS Congruence Theorem.△GHJ≅△JHI by AAS Congruence Theorem.triangle upper G upper H upper J congruent to triangle upper J upper H upper I  by AAS Congruence Theorem.△GHJ≅△IJH by ASA Congruence Theorem.

1 answer

To accurately select the correct statement about the relationship between the triangles, we need specific information about the triangles, such as the lengths of sides or the measures of angles. However, I can explain the criteria for congruence theorems mentioned:

  1. SAS (Side-Angle-Side): Two triangles are congruent if two sides and the angle between them in one triangle are equal to two sides and the angle between them in the other triangle.

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

  3. AAS (Angle-Angle-Side): Two triangles are congruent if two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in the other triangle.

  4. ASA (Angle-Side-Angle): Two triangles are congruent if two angles and the included side in one triangle are equal to two angles and the corresponding included side in the other triangle.

Without specific details about the triangles (lengths of sides or measures of angles), I cannot definitively identify which relationship is correct. If you can provide additional details regarding the triangles or the diagram, I would be happy to help verify one of the congruences!

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