Final answer:
Mechanical waves need a medium to exist, as they rely on it to transmit energy through vibration. The correct answer is a) medium, energy, vibrate, which reflects the necessity for a physical substance, like air or water, to carry the wave.
Step-by-step explanation:
Mechanical waves must have a medium for them to exist; in other words, there must be some sort of substance to carry the energy. Mechanical waves form when a source of energy causes particles that make up a medium to vibrate. Therefore, the correct answer to the student's question is a) medium, energy, vibrate.
Mechanical waves, such as sound waves, water waves, and seismic waves, all require a medium to propagate through. This medium can be solid, liquid, or gas. Electromagnetic waves, on the other hand, do not require a medium and can travel through a vacuum, as is the case with light waves.