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Geometry Problem 994: Trapezoid, Midpoints of the bases, Concurrent Lines. Level: School, College

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The figure shows a trapezoid ABCD with AD parallel to BC. If M and N are midpoints of AD and BC, respectively, prove that lines AB, MN, and DC are concurrent at P.
 

Geometry Problem 994: Trapezoid, Midpoints of the bases, Concurrent Lines
 

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