Definition
To act tough or put up a front. For example, to threaten a person by making "karate chops" at them, without actually doing harm or knowing karate.
To dance.
How People Actually Use It
to dance to electronic music, at a rave or the like. the practice of making box-like punching motions in the air.
"I can't really see Brian throwing shapes in the church of dance."
Source: Urban Dictionary