In the figure, AB is parallel to CD, XY is the perpendicular bisector of AB, and E is the midpoint of XY. Prove that △AEB ≅ △DEC by matching each mathematical statement with its reason. *(select) = A, B, C, D, E, F, G, H, I, J

A. XY is perpendicular to AB. (select) Definition of a perpendicular bisector

B. XY ⊥ CD (select) ASA Triangle Congruence

C. m∠AXE = 90°, m∠DYE = 90°. (select) Definition of a midpoint

D. ∠AXE ≅ ∠DYE. (select) In a plane, if a transversal is
perpendicular to one of two parallel
lines, then it is perpendicular to the other.

E. XE ≅ YE (select) Vertical Angles Theorem

F. ∠A ≅ ∠D (select) Definition of perpendicular lines

G. △AEX ≅ △DEY (select) Right angles are congruent.

H. AE ≅ DE (select) AAS Triangle Congruence

I. ∠AEB ≅ ∠DEC (select) Alternate Interior Angles Theorem

J. △AEB ≅ △DEC (select) Corresponding parts of congruent
triangles are congruent.