Yes, compressional waves are what sound is made of. Since there is no sound in a vacuum, it can be assumed that compressional waves only travel through matter.
You can also think of it like this: they're called compression waves because something is compressing. If there was no matter, there'd be nothing for them to compress.
energy
False. EM Waves do not transfer matter, they transfer energy.
Waves transfer energy, not matter. This energy can be in the form of sound, light, or motion. Waves help transmit information through space.
The matter through which waves transfer energy is called the medium. Waves can travel through different mediums such as air, water, and solids, and they transfer energy by causing particles in the medium to vibrate.
Yes, all waves carry energy but not matter. Waves transfer energy from one place to another but do not involve the physical displacement of matter.
radiation
Waves can carry energy but not matter. In the case of mechanical waves, such as water waves or sound waves, the energy is transferred through the movement of the medium's particles. In contrast, electromagnetic waves, like light waves, can travel through a vacuum and transfer energy without the need for a medium.
No waves do not transfer matter but it transfers only the energy
There are lots of things they don't transfer.
Mechanical waves
light gas
Electromagnetic waves transfer energy to matter by heating up matter and changing configuration of matter including fission, breaking matter up.