`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 B is produced to E so that B E=A B . Prove that E D bisects B Cdot

A B C D is a parallelogram. A B is produced to E so that B E=A B . Prove that E D bisects B C .

A B C D is a parallelogram. If A B is produced to E such that B E=A B . Prove that E D bisects B C .

A B C D is a parallelogram in which B C is produced to E such that C E=B CdotA E intersects C D\ at Fdot Prove that a r\ (\ A D F)=\ a r\ (\ E C F) If the area of \ D F B=3\ c m^2, find the area of ^(gm) ABCD

A B C D is a parallelogram and E is the mid-point of B C ,\ D E\ a n d\ A B when produced meet at F . Then A F=

A B C D is a parallelogram in which B C is produced to E such that C E=B C. A E intersects C D\ at F . Prove that a r\ (\ A D F)=\ a r\ (\ E C F) . If the area of \ D F B=3\ c m^2, find the area of ABCD.

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F Cdot Prove that A E\ C F is a parallelogram whose area is one third of the area of parallelogram A B\ C Ddot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E BC ~EDAdot