Final answer:
The triangles cannot be proven to be congruent from the given information.
Step-by-step explanation:
To complete the congruency statement and name the rule used, we need to compare the two given triangles. However, the question does not provide the information about the triangle that is congruent to ∆ARE. Therefore, we cannot determine the triangle's name for the congruency statement, and the rule used would be CNBD (Cannot be determined).