An electromagnetic wave is a type of wave that consists of oscillating electric and magnetic fields, which travel through space at the speed of light.
A transverse wave is a type of wave where the particles vibrate perpendicular to the direction in which the wave travels.
An electric field is a region around a charged object where another charged object experiences an electric force.
A magnetic field is a region around a magnet or current-carrying wire where other magnets or moving charges experience a magnetic force.