Transverse and Longitudinal Waves

Displacements of the particles are perpendicular to the direction of propagation of the wave.
Transverse waves look as crests and troughs propagating in the medium.
Transverse waves can only be transmitted in solids or on the surface of the liquids.
In case of a transverse wave, the displacement - distance graph gives the actual picture of the wave itself.

Displacements of the particles are along the direction of propagation of the wave.
Longitudinal waves give the appearance of alternate compression and rarefaction moving forward.
Longitudinal waves can travel in solids, liquids and gases.
In case of longitudinal waves, the graph only represents the displacement of the particles at different points at a given time.