The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruent to segment AG.
Which conclusion can be made based on the given conditions?
-Segment GF is congruent to segment EG.
-Segment GD is congruent to segment EG.
-Segment GF is half the length of segment EB.
-Segment GD is half the length of segment HC.
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