BYU QUESTION GEOMETERY HELP(photo)I don't know
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A fellow BYU courser I see.
Now, I am in the same course as you, but shouldn't there be a "None of the Above" option? (I only finished 1.1 so I don't really know.) I think that is correct.
Based on the picture (I know the picture is almost never drawn to scale but still) I think these line segments aren't parallel.
Also, I think the actual proof involves the Alternate Exterior Angles theorem, and those angles in this case are angles ∠BFC and ∠FCE which aren't listed.