Answer:
Here is the full proof:
AB || DE Given
∠B = ∠D Alternate interior angles theorem
∠A = ∠E ↑
C is the midpoint of BD Given
BC = CD Definition of midpoint
ΔCBA ≅ ΔBDE SAA
AC = CE CPCTC
C is the midpoint of AE Converse of definition of midpoint
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