A. The board shall have the power to hear and decide special exceptions to the terms of this part upon which the board is required to pass under this part. Upon appeal, the board is empowered to permit the following exceptions:
1. To permit the extension of a district where the boundary line of a district divides a lot in single ownership as shown of record.
2. To interpret the provisions of this part where the street layout actually on the ground varies from the street layout as shown on the map fixing the several districts, which map is on file in the office of the city clerk.
3. To grant exceptions to the off-street parking requirements set forth in section 12-201 et seq. of this part when it is determined that the size and shape of the lot to be built on is such that off-street parking provisions could not be complied with, and that the proposed use will not create undue traffic congestion in the adjacent streets. (1986 Code)