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In a parallelogram \(ABCD\), \(E\) and \(F\) are the mid-points of sides \(AB\) and \(CD\) respectively (see Fig.). Show that the line segments \(AF\) and \(EC\) trisect the diagonal \(BD\).
 
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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.