Given: Prove: Three lines BE, AD, and CF are intersected at the midpoint point O. Complete the proof. Suppose that

∠BOC=∠COD. By the vertical angles theorem,

∠AOC=∠COE, and by the transitive property,

∠AOC=∠BOC, which contradicts the given. Therefore, __________.

a) BE is parallel to AD
b) BE is perpendicular to AD
c) BE is congruent to AD
d) BE is bisected by AD