Why do praying mantis sway?

Answer 1

Before striking, the mantis will sway or rock back and forth. Scientists disagree about why. Some believe it is mimicking the movement of leaves in the wind. Others think that swaying helps the mantis focus its eyesight.

Answer 2

They use their legs and their wings.

They tend to keep still as camouflage.

Answer 3

Mantis depth vision only works with movement. In order to see a still object far away it needs to move its head back and forth while looking in that direction.

researchgate.net/publication/273221667_The_functional_significance_of_mantis_peering_behaviour