Transverse waves are to radio waves as

longitudinal waves are to

(1) light waves (3) ultraviolet waves

(2) microwaves (4) sound waves

Radio waves are EM waves so they are transverse (vibrations perpendicular to direction of energy transfer). Longitudinal waves have the vibrations parallel to the direction of Energy transfer.

Light, UV, and microwaves are all part of the EM spectrum, and all EM waves are transverse, so you are left with one option, sound waves which are longitudinal.

Therefore, longitudinal waves are to sound waves.