Answer: The waves that travel through a vacuum is, light and heat waves.
Explanation :
Electromagnetic waves: These are waves which can travel through vacuum. These have electrical and magnetic component associated with them. They travel with the speed of light. They does not require a medium to travel. For Example: Infrared waves, Microwaves, light waves, heat waves.
Mechanical waves: These are the waves that require a medium to travel so that they can transport their energy from one location to another. For Example: Sound waves, surface wave.
Surface wave : It is defined as a seismic wave that travels along or parallel to the earth's surface.
Longitudinal and transverse waves are also require a medium to travel.
Hence, the waves that travel through a vacuum is, light and heat waves.