Question: Let ABCD be a trapezoid, with AB parallel to CD, and lines BC, AD intersecting at a point O. Let P be the intersection point

Let ABCD be a trapezoid, with AB parallel to CD, and lines BC, AD intersecting at a point O. Let P be the intersection point of the diagonals AC, BD. Prove that the line OP divides both segments AB, CD in half.

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