Quadrilateral ABCD is given below, where M is the midpoint of each of its diagonals (another way of saying this is that the diagonals "bisect each other"). Prove that ABCD is a parallelogram.
Quadrilateral Problems

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    Proof: Consider the triangles AMB and CMD. These are congruent because (SAS)
    AM and AM are the same in length, BM and DM are the same in length
    and at M the angle AMB is equal to the angle CMD....
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