The particles of the medium that move both parallel and perpendicular to the wave motion are found in transverse waves.

Here's why:

* Transverse waves: The particles in a transverse wave oscillate perpendicular to the direction the wave travels. Imagine shaking a rope up and down – the rope moves vertically (perpendicular) while the wave travels horizontally.

Let's break down the other options:

* Longitudinal waves: The particles in a longitudinal wave oscillate parallel to the direction the wave travels. Think of a spring – when you compress and release it, the coils move back and forth along the direction the wave travels.

Therefore, only transverse waves have particles that move both parallel and perpendicular to the wave motion.