Final answer:
To prove the given statement, we can apply the Angle Side Proportionality theorem, which states that if two triangles have proportional corresponding sides and congruent alternate interior angles, then the triangles are similar. Using this theorem, we can prove that AB ~ ED.
Step-by-step explanation:
To prove that AB ~ ED, we can use the Alternate Interior Angles theorem. Since AB || ED, the Alternate Interior Angles are congruent. Also, since AC = EC, we have two pairs of corresponding sides that are proportional. Therefore, by the Angle Side Proportionality theorem, we can conclude that AB ~ ED.