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 GF is half the length of segment EB.
Segment GD is congruent to segment EG.
Segment GD is half the length of segment HC.

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