dance correspondingly/simultaneously

Hi,

I'm looking for a word or an expression to say when a group of people do the same actions in the same time. For example, when cheerleaders dance, all of them do the same action at the first second then another same action at another second. Is it correct to say "they dance correspondingly" or "they dance simultaneously"? Or any suggestions?

Thank you.

"dance in sync"

sync is short for "synchronisation" but is often used for dancing, swimming, gymnastics etc

You could also say They dance in unison.