A wave in which the particles of the medium move up and down as the wave passes through is a transverse wave or a a longitudinal wave

transverse waves

Explanation:

this is because the definition of transverse waves is transverse waves are waves that travel perpendicular to the direction of the wave motion

however the definition of longitudinal waves is that longitudinal waves are waves that travel parallel to the direction of the wave motion.

so you can see the parallel means it forms compressions and rarefactions

but perpendicular means the particles will move up and down to the straight horizontal line, that's how lines are perpendicular right? ,

so the answer is transverse wave

hope this helps

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i need the answer to this too but idk it ; -;