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

A

$\text{I only}$

B

$\text{III only}$

C

$\text{I and II only}$

D

$\text{I and III only}$

E

$\text{I, II, and III}$