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Congruent Triangles: Statement Validity

ACTMAT-NC1AOG

${\Delta }$ ADE below is isosceles with $AE = DE$.

If ${\angle ABE \cong\angle DCE }$, which of the following statements is/are true:

I.

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

II.

${\Delta BCE}$ is isosceles

III.

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

A

$\text{I only}$

B

$\text{I and II only}$

C

$\text{I and III only}$

D

$\text{II and III only}$

E

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