PQRS is a parallelogram. PS is produced to M, so that SM = SR and MR produced meets PQ produced at N. Prove that QN = QR.

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

PQRS is a parallelogram. PX and QY are respectively, the perpendiculars from P and Q to SR and RS produced. Prove that PX = QY.

The side AB of a parallelogram ABCD is produced to any point E. A line through A and parallel to CE meets CB produced at G and then parallelogram EBGF is completed (see the figure). Prove that area of ||gm ABCD = " area of "||gm BEFG .

In the figure, PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS " and " PA || QB || RC . Prove that ar (PQE) = ar (CFD) .

In the figure, PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS " and " PA || QB || RC . Prove that ar (PQE) = ar (CFD) .

In parallelogram PQRS. L is mid-point of side Sr and SN is drawn parallel to LQ which meets RQ produced prove that : SN=2LQ

PQRS is a parallelogram.PX and QY are respectively,the perpendiculars from P and Q to SR and RS produced.Frove that PX=QY.