ABCD is a parallelogram. E is a point on BA such that `BE =2 EA` and F is a point on Do such that DF=2 FC. Prove that AE CF is a parallelogram whose area is one third area of parallelogram AB CD

ABCD is a parallelogram. E is a point on BA such that BE =2 EA and F is a point on DC such that DF=2 FC. Prove that AECF is a parallelogram whose area is one third area of parallelogram 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 C . Prove that A E C F is a parallelogram whose area is one third of the area of parallelogram A B C D .

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

D, E, F are the mid points of side AB, BC, AC prove that BDEF is a parallelogram whose area is half that of Delta ABC

D,E,F are the mid points of side AB,BC,AC prove that BDEF is a parallelogram whose area is half that of Delta ABC

ABCD is a parallelogram. E is a point on BC such that BE : EC = m:n. If AE and DB intersect in F, then what is the ratio of the area of triangle FEB to the area of triangle AFD?

E is the mid-point of side AB and F is the mid point of side DC of parallelogram ABCD . Prove that AEFD is a parallelogram.

The area of any parallelogram ABCD, is AB X BC.

ABCD is a parallelogram E is the mid point of AB and CE bisects angleBCD . Prove that: AE=AD?

ABCD is a parallelogram. E is the middle point of the side CD. BE intersects AC at the point X. prove that AX=2/3AC .