Transverse waves are waves in which the displacement of the medium is perpendicular to the direction of propagation of the wave. Examples include:

* Electromagnetic waves: These waves consist of oscillating electric and magnetic fields and can travel through a vacuum (like space).

* Light waves: These are a type of electromagnetic wave.

* Gravitational waves: These waves are disturbances in spacetime caused by accelerated masses.

Longitudinal waves on the other hand, require a medium to travel through. In these waves, the displacement of the medium is parallel to the direction of propagation. Examples include:

* Sound waves: These waves travel through air, water, or other materials by compressing and expanding the molecules.

* Seismic waves: These waves travel through the Earth's interior.

In summary:

* Transverse waves can travel through a vacuum.

* Longitudinal waves require a medium to travel through.