Trapezoid A B C D is shown. Diagonals are drawn from point B to point D and from point A to point C and intersect at point E.
If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

BC ∥ AD
BD ⊥ AC
BA ≅ CD
BE ≅ ED
∠CBA ≅ ∠BCD