\( A B C D \) is a parallelogram in which \( P \) is the midpoint of \( D C \) and \( Q \) is a ... VIDEO
\( A B C D \) is a parallelogram in which \( P \) is the midpoint of \( D C \) and \( Q \) is a point on \( A C \) such that \( C Q=\frac{1}{4} A C \). If \( P Q \) produced meets \( B C \) at \( R \), prove that \( R \) is the midpoint of \( B C \).
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