ABCD is a parallelogram; any line through A cuts DC at a point P and BC produced at Q. prove that triangle BCP is equal in area to triangle DPQ.

ABCD is a parallelogram, a line through A cuts DC at point P and BC produced at Q. Prove that triangle BCP is equal in area to triangle DPQ.

ABCD is a parallelogram, a line through A cuts DC at point P and BC produced at Q. Prove that triangle BCP is equal in area to triangle DPQ.

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

ABCD is a parallelogram and a line through A meets DC at P and BC (produced) at Q. Prove that ar(triangleBPC) = ar(triangleDPQ)

ABCD is a parallelogram and APQ is a straight line meeting BC at Pand DC produced at Q. prove that the rectangle obtained by BP and DQ is equal to the rectangle contained by AB and BC.

square ABCD is a parallelogram.Side BC intersects circle at point P.Prove that DC=DP

P is the mid-point of side AB of a parallelogram ABCD .A Line through B parallel to PD meets DC at Q and AD produced at R. Prove that ( i )AR=2BC (ii) BR=2BQ.

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.

In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1: 2. DP produced meets AB produced at Q. Given the area of triangle CPQ = 20 cm^2 Calculate : area of parallelogram ABCD.

In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1: 2. DP produced meets AB produced at Q. Given the area of triangle CPQ = 20 cm^2 Calculate : area of triangle CDP.