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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Let ABCD be a trapezoid with AD || BC. A point M is chosen inside the trapezoid, and a point N is chosen inside the triangle BMC such that AM || CN, BM || DN. Prove that triangles ABN and CDM have equal areas.
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