Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are paralle

Question

Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. 
Using the side-splitter theorem, which segment length would complete the proportion?

StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction

GF
JH
GJ
EF

GPT-5 mini · Answer

GJ

By the Side-Splitter Theorem, a line parallel to EF cutting EG at H and GF at J gives corresponding ratios on those sides: GH/HE = GJ/JF.

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Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF

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