# 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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