# 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

## Snapshots

## Details

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

## Permanent Citation

"Two Midpoints of a Trapezoid"

http://demonstrations.wolfram.com/TwoMidpointsOfATrapezoid/

Wolfram Demonstrations Project

Published: March 7 2011