Moderate# Congruent Triangles: Isosceles and Equilateral

ACTMAT-KTFKSG

In the figure below, $ {\Delta}ADE $ is isosceles with $ \overline{AE} = \overline{DE} $, and $ {\Delta}BCE $ is equilateral.

Which of the following statements is/are true?

I. $ {\Delta ABE ~ \Delta DCE} $

II. $ {\Delta ABE \cong \Delta DCE} $

III. $ {\Delta ACE \cong \Delta DBE} $