Question

4. Points E and Flie on diagonal AC of 2 points
a parallelogram ABCD such that AE =
CF. What type of quadrilateral is
BFDE?​

Answer 1

Draw a rough diagram ,

Join BD , meeting AC to O,

Since the diagonals of a

parallelogram bisect each other ,

We have

OD = OB

and

OA = OC

Also , AE = FC ( given )

Now ,

OA - AE = OC - FC

OE = OF

In quadrilateral DFBE ,

OD = OB

and OE = OF.

As the diagonals of the quadrilateral

DFBE bisect each other.

Therefore ,

Quadrilateral DFBE is a parallelogram .