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\(E\) is the mid-point of the side \(AD\) of the trapezium \(ABCD\) with \(AB || DC\). A line through \(E\) drawn parallel to \(AB\) intersect \(BC\) at \(F\). Show that \(F\) is the mid-point of\ (BC\).
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.