Answer
BE corresponds to BC
EA corresponds to DC
AB corresponds to CB
Work Step by Step
1. $\angle ABE$ corresponds to $\angle CBD$
These are vertical angles, therefore congruent
2. $\angle AEB$ corresponds to $\angle CDB$
$\angle EAB$ correspond to $\angle DCB$
Since EA and CD are parallel, these angles are alternate interior angles, so congruent
3. By matching the lines you can figure out what sides correspond
BE corresponds to BC
EA corresponds to DC
AB corresponds to CB