Question

transverse wave
move perpendicular to the medium (up/down or side to side)
move parallel to the direction - forward and backward motion
longitudinal waves
move parallel to the direction - forward and backward motion
is the distance from the center of one compression to the center of the next compression.

Explanation:

Transverse waves have particle motion perpendicular to the wave propagation direction (e.g., up/down or side - to - side). Longitudinal waves have particle motion parallel to the wave propagation direction (forward and backward motion).

Answer:

For Transverse Wave: Move perpendicular to the medium (up/down or side to side). For Longitudinal Waves: Move parallel to the direction - forward and backward motion.