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Two Midpoints of a Trapezoid

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Let ABC be a triangle. Let D be a point on AB and DE be parallel to AC with E on BC. Let AE and DC intersect at F. Let BF intersect DE at N and AC at M. Then DN = NE and AM = MC.

Contributed by: Jay Warendorff (March 2011)
After work by: Antonio Gutierrez
Open content licensed under CC BY-NC-SA

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The statement of the theorem is in Trapezoid: Triangle, Diagonals, Midpoints, Bases.

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