Answer:
First, we are given that line segments AB and ED are congruent and that AE and BD bisect each other. This means that AC and CE are congruent, and they are also congruent to BC and CD. Next, angle ACB and angle DCE are congruent because of the vertical angles theorem. This means that triangle ABC and triangle EDC are congruent by the Side-Angle-Side congruency theorem, and also the Side-Side-Side theorem.
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