Question

EF is a median of isosceles trapezoid ABCD. BF is _____ equal to ED.

Sometimes, Always, or Never?

Answer 1

always

Answer 2

these two sides are equal (you have an isosceles trapezoid, so the legs are congruent)

Answer 3

so

AD = BC

cut each piece in half to get

AE + ED = AD ---> AE = ED
BF + FC = BC ---> BF = FC

both are true because EF is a median

Answer 4

because AD = BC, AE = ED, BF = FC, you can show that BF = AE which will allow you to prove that BF = ED