Rotation
Definitions
Juliette is on the swing. As she swings back and forth, she remains at the same distance from the attachment point. She moves in a circle.
Definition Rotation of a Point
The rotation of point \(M\) through an angle \(a^{\circ}\) about center \(O\) is the point \(M'\) such that angle \(MOM'=a^{\circ}\) and \(OM=OM'\).
The rotation can be done in a clockwise \(\curvearrowright\) or counterclockwise \(\curvearrowleft\) direction.
The rotation can be done in a clockwise \(\curvearrowright\) or counterclockwise \(\curvearrowleft\) direction.
Definition Rotation
The Rotation of an object through an angle \(a^{\circ}\) about center \(O\) is the rotation of all its points.