Medium particles move perpendicular to the direction of wave propagation.
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Transverse waves like light involve oscillations not of medium particles but of electromagnetic fields.
The waves seen on the water surface when a pebble is dropped in a pond.
The propagation of disturbance in a slinky can be compared to sound propagation in a medium because both involve longitudinal waves where compressions and rarefactions travel through the medium, and the particles move parallel to the direction of the wave, ...
In longitudinal waves, the particles of the medium do not move from one place to another. Instead, they oscillate back and forth about their position of rest, moving in a direction parallel to the wave’s propagation.