In transverse waves, the vibrations are at right angles to the direction of wave travel.
Examples of transverse waves include:
One way to remember the movement of particles in transverse waves is to use the 'S' sound: transverse waves such as seismic S-waves may be thought of as shake or shear waves as the particles move from side-to-side - crossing the direction of wave travel.
Transverse waves are often demonstrated by moving a rope rapidly up and down.
In the diagram the rope moves up and down, producing peaks and troughs. Energy is transferred from left to right. However, none of the particles are transported along a transverse wave. The particles move up and down as the wave is transmitted through the medium.