A B C D is a parallelogram in whichis the mid-point of D C and Q is a point P on A C sychtyat C Q...

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A B C D is a parallelogram in whichis the mid-point of D C and Q is a point
P on A C sychtyat C Q=1/4 A C. If P Q produced meets B C at R, prove that R is a mid-point of B C.

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