Similarities: They are waves, they both displace particles, both transfer energy
Differences: Transverse- particles move perpendicularly, waves are perpendicular to direction, and they are 2 dimension . Longitudinal- particles are displaced same direction as a wave, move left and right, and are one dimension
How to measure:
Transverse- measure 2 adjacent crests or troughs
Longitudinal- measure from one rare faction to another or one compression to another
Example: Transverse- vibrations in string . Longitudinal- sound waves