Rotation
What is a Rotation?
Juliette is on a swing. As she swings back and forth, she always stays the same distance from the attachment point. Her seat moves along part of a circle.
Definition Rotation of a Point
A rotation of point \(M\) through an angle \(a^{\circ}\) about center \(O\) gives a point \(M'\) such that \(\Angle{MOM'}=a^{\circ}\) and \(OM=OM'\).
The rotation may be clockwise \(\curvearrowright\) or counterclockwise \(\curvearrowleft\).
The rotation may be clockwise \(\curvearrowright\) or counterclockwise \(\curvearrowleft\).
Definition Rotation
A rotation of an object through an angle \(a^{\circ}\) about center \(O\) is the rotation of all its points through the same angle around \(O\). The object keeps the same size and shape; only its position changes.