Given a triangle ABC and a trapezoid ADEC (DE // AC), as shown. AE and CD meet at F, and BF meets DE and AC at N and M respectively. Prove that M and N are the midpoints of AC and DE respectively.
![](http://www.gogeometry.com/geometry/trapezoid_diagonal_01_17.jpg)
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Trapezoid, Triangle, Diagonals, Midpoints. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.. Level: High School, SAT Prep, College geometry
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