In parallelogram ABCD, E is mid-point of CD and through D, a line is drawn parallel to EB to meet CB produced at point G and to cut AB at point F. Prove that :
DG = 2EB

In parallelogram ABCD, E is mid-point of CD and through D, a line is drawr parallel to EB to meet CB produced at point G and to cut AB at point F. Prove that: 2 xx AD = GC

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

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: PB=2AD

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that : BP=2AD

In parallelogram ABCD, E is the mid-point of AB and AP is parallel to EC which meets DC at point O and BC produced at P. Prove that: O is mid-point of AP.

In parallelogram PQRS. L is mid-point of side SR and SN is drawn parallel to LQ which meets RQ produced prove that : SP=(1)/(2)RN

In a trapezium ABCD, AB/DC, E is mid-point of aD. A line through E and parallel to AB intersects BC at point F. Show that: 2EF=AB+DC

In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.

The side AB of a parallelogram ABCD is produced to any point P. A line through A and parallel to CP meets CB produced at Q and then parallelogram PBQR is completed. Show that a r\ (A B C D)\ =\ a r\ (P B Q R) .

In triangle ABC, D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Prove that BDEF is a parallelogram. If AB = 16 cm, AC = 12 cm and BC = 18 cm, find the perimeter of the parallelogram BDEF.