Here's why:
* Transverse waves are waves where the oscillation of the medium (or field) is perpendicular to the direction the wave travels.
* Electromagnetic waves are a prime example of transverse waves that do not require a medium. These waves consist of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation. They can travel through the vacuum of space.
While some transverse waves, like waves on a string or water waves, do require a medium, electromagnetic waves demonstrate that transverse waves can exist and propagate without a physical medium.