Earthquake waves can be either transverse or longitudinal. if an earthquake wave is moving to the east, and the ground is moving back and forth along the east-west axis, this is a wave

Longitudinal

Explanation:

A longitudinal wave is a wave in which the direction of displacement is the same as the direction of propagation.  

If an earthquake wave is moving to the east and the ground is moving back and forth along the east-west axis, this is a longitudinal wave.

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