The direction of propagation of a transverse wave is always perpendicular to its direction of vibration.
Few specific types of transverse waves can travel through a vacuum.
An electromagnetic wave or light wave is an example of a transverse.
In an electromagnetic wave, the direction of vibration of the electric field, magnetic field, and the direction of propagation are all mutually perpendicular to each other, hence fulfilling the properties of a transverse wave.
The trajectory of a transverse wave is sinusoidal in nature.
The standing waves propagating in a taut string are also another example of a transverse wave.