Final answer:
In a transverse wave, the molecules of the medium vibrate at right angles to the direction of the wave's propagation.
Step-by-step explanation:
In a transverse wave that travels through a medium, the molecules of the medium vibrate at right angles to the direction in which the wave travels. This means that if the wave is moving horizontally to the right, the particles of the medium would be moving up and down vertically.
This type of oscillation is characteristic of transverse waves, as opposed to longitudinal waves, where the particles vibrate in the same direction as the wave travels. In summary, the correct answer to the question is A. at right angles to the direction in which the wave travels.