vector proofs math 536

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if the diagonals of quadrilateral ABCD intersect at their midpoints, then the quadrilateral is a parallelogram.
Prove that AM MC
--- = ---
MB MD

Ive tried figuring out this question for a while now and I cant figure it out.

  • vector proofs math 536 -

    *******Prove that AM/BM = MC/MD

  • vector proofs math 536 -

    If AC and BD intersect at their mid-points, AM=MC, and BM=MD.
    Therefore
    AM/MC=BM/MD=1
    Transpose to get:
    AM/BM=MC/MD

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