Posted by **dave** on Tuesday, October 19, 2010 at 12:22pm.

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 -
**dave**, Tuesday, October 19, 2010 at 12:23pm
*******Prove that AM/BM = MC/MD

- vector proofs math 536 -
**MathMate**, Tuesday, October 19, 2010 at 12:37pm
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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