Both mechanical and electromagnetic waves have compressions and rarefactions oscillate in the same direction as the wave motion transmit energy require a medium for transfer

transmit energy

Explanation:

Waves (both mechanical and electromagnetic) are periodic perturbations of the space that transmit energy without transmitting matter. (so, "transmit energy" is valid for both types of waves).

The other statements are wrong because:

have compressions and rarefactions --> this is a property only of longitudinal waves, while electromagnetic waves are transverse, so they do not have compressions

oscillate in the same direction as the wave motion --> this is the description of longitudinal waves, while electromagnetic waves are transverse,

require a medium for transfer --> this is true only for mechanical waves: electromagnetic waves in fact do not need a medium to propagate.

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