Using the side-splitter theorem, the segment length that would complete the proportion is GJ.
It should be noted that the side splitter theorem states that when a line intersects two sides of a triangle and is also parallel to the third side, then it'll divide the sides proportionally.
From the information given, it can be deduced that EF and HJ are parallel while H is on the side EG and J is on GF. Therefore, according to the theorem, GH/HE = GJ/JF
Therefore, the correct option is GJ.
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