Question

here is my picture ( in attaachment)
my questions is what is the missing proof/ reason that belongs to the statement; segment GC is parallel to segment BH and segment BG is parallel to segment HC and my answer options are;
Which reason is missing from the proof?
Answer

Intersecting Lines Postulate

Properties of a Parallelogram

Midsegment Theorem

By Construction
i have ruled out the first two and think it may be the third option but am not entirely sure.. help pllease?