The earthquake waves that have transverse movements are known as

Secondary waves are S waves whose particle motion is transverse, at right angles to the direction of travel.

Primary waves are P waves with longitudinal, back-and-forth compressional motion, not transverse.

Surface waves travel along the ground surface and include rolling and side-to-side types, but are not the defined body S wave here.

Since secondary waves fit exactly, none of the above does not apply.

Being transverse, S waves cannot pass through liquids and are blocked by the outer core.

P waves arrive first because they move faster than the transverse S waves.