To determine which statement correctly describes the relationship between the triangles in the diagram, one would typically need to analyze the given triangles based on the known congruence theorems (SSS, ASA, SAS, AAS).
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SSS Congruence Theorem: This theorem states that if all three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
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ASA Congruence Theorem: This indicates that 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.
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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.
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AAS Congruence Theorem: This theorem states that 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, the triangles are congruent.
Since the exact diagram is not provided, I will explain how you can identify the correct statement based on the characteristics of the triangles shown.
- Look for pairs of congruent sides and angles in the triangles.
- Check if congruence conditions (like having two angles and a side or three sides) are met in any of the listed statements.
If you can provide more specifics about the angles and sides in triangles GJH, GHJ, and JHI, I would be able to assist you better in identifying the correct congruence relationship.