Question

wave motion
the particles will move up and down over large areas.
the particles will move up and down over small areas.
the particles will move side to side over small areas.
the particles will move side to side over large areas.

Explanation:

In a wave (such as a transverse wave created by moving the spring up - and - down), the particles oscillate around their equilibrium positions. The oscillation is in a direction perpendicular to the wave motion (up - and - down for a transverse wave like this spring wave). The movement is around a fixed point (small area), not over large areas. Side - to - side movement (parallel to wave motion) is characteristic of longitudinal waves, but the visual (up - and - down hand motion creating a wave) implies a transverse wave.

Answer:

The particles will move up and down over small areas.