**Question 5:**

ABCD is a parallelogram. If E is midpoint of AD and F is midpoint of BC show, with reasons, that BFDE must be a parallelogram.

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**ANSWER:**As lines BE and FD cut through the midpoints of AD and BC respectively, the 2 lines are said to be parallel to each other. With lines BF and ED already proven to be straight and parallel sides,

**BFDE must be a parallelogram.**

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