Final answer:
Radio waves do not belong to the same family as the others since they are electromagnetic waves and can travel through a vacuum, unlike the mechanical sound waves mentioned.
Step-by-step explanation:
The item that does not belong to the same family as infrasonic waves, ultrasonic waves, longitudinal waves, and shock waves is radio waves. The main reason for this is that radio waves are electromagnetic waves and therefore transverse in nature, meaning they have oscillations perpendicular to the direction of wave propagation.
On the other hand, infrasonic waves, ultrasonic waves, longitudinal waves, and shock waves are all types of mechanical waves. Specifically, infrasonic waves, ultrasonic waves, and shock waves are types of sound waves, which are longitudinal, involving oscillations in the same direction as the wave is moving, while radio waves can travel through a vacuum and do not require a medium. Sound waves, being mechanical, require a medium such as air, water, or solids to travel through.