F.5 maths circle

Picture: http://postimg.org/image/xuaz2x2ab/

In the figure, arc AB=arc BC=arc CD=arc DA and BE=CE. AD and DC are
produced to meet at F. It is known that triangle ABE congruent to triangle FCE.
Join BF. Determine whether BF is the tangent to the circle at B.
Please help, Thank you!!