Waves that move at a right angle to the direction of the wave are called transverse waves. In transverse waves, the disturbance or oscillation occurs perpendicular to the direction of the wave propagation.
Waves in which the disturbance moves in the same direction as the wave are called longitudinal waves. In longitudinal waves, the oscillation or disturbance of the medium occurs parallel to the direction of wave propagation.
The description you provided at the end refers to a specific type of wave called "crossed polarized waves" or "orthogonal waves." These are two transverse waves that travel together and are at right angles (90 degrees) to each other.