Hey There!!
Your correct choice will be AAS Theorem.
Explanation:
Because, two angles and any side of one triangle are congruent to two angles and any side of another triangle, then these triangles are congruent Thus, given a triangle ADB and CDB. ∠BAD = ∠BCD = 90°. (Angle), Then, BD = BD (The common side) As given AAS Theorem. Therefore, ∆ADB ≅ ∆CDB by the AAS theorem.
Hope This Explaining was not confusing . . .
By ☆Itsbrazts☆