What can you conclude from the diagram below?

Explanation:

E is the midpoint of ABF is the midpoint of CBEF is the midline of ΔABC, hence ║ACH is the midpoint of ADG is the midpoint of CDGH is the midline of ΔACD, hence ║AClength of EF = length of GH = 1/2 length of ACEFGH is a parallelogramΔEBF ~ ΔABCΔHGD ~ ΔACDarea relationships can be derived from the fact that the similar triangle scale factors are 1:2

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Similar relationships pertain to the diagonal BD and segments EH and FG. You can also conclude that area EFGH is half of area ABCD by considering the various triangles you get by connecting midpoints different ways.

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