ABCD is a parallelogram in which P is the midpoint of DC and Q is a point on AC such that CQ `=(1)/(4) AC`. If PQ produced meets BC at R, prove that R is the midpoint of BC.

In Fig. , ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4AC . If PQ produced meets BC at R, prove that R is a mid-point of BC.

In Fig. , ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4AC . If PQ produced meets BC at R, prove that R is a mid-point of BC.

A parallelogram ABCD has P the mid-point of DC and Q a midpoint of AC such that CQ = (1)/(4) AC. PQ produced meets BC at R. Prove that: R is the mid-point of BC

A parallelogram ABCD has P the mid-point of DC and Q a point of AC such that CQ = (1)/(4) AC. PQ produced meets BC at R. Prove that: PR=(1)/(2)DB .

In figure,P is the mid-point of BC, Q is the mid-point of AP, such that BQ produced meets AC at R .Prove that 3RA=CA

ABCD is a parallelogram.P is a point on AD such that AP=(1)/(3)AD and Q is a point on BC such that CQ=(1)/(3)BP. Prove that AQCP is a parallelogram.

ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD and Q is a point on BC such that CQ = 1/3BC . Prove that AQCP is a parallelogram.

ABCD is a parallelogram. Any line through A cuts DC at a point P and BC produced at Q.Then,

In a parallelogram ABCD, P is a point on side AD such that 3AP = AD and Q is a point on BC such that 3CQ = BC. Prove that : AQCP is a parallelogram.