In mathematics, a rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point. The result of a rotation is a new figure, called the image, which is congruent to the original figure. The amount of rotation is described in terms of degrees, and the figure can rotate around any given point. Although a figure can be rotated any number of degrees, the rotation will usually be a common angle such as 90 or 180 degrees. If the number of degrees is positive, the figure will rotate counterclockwise, and if the number of degrees is negative, the figure will rotate clockwise.

In geometry, there are four basic types of transformations: rotation, reflection, translation, and resizing. A rotation is a motion of an object around a center or an axis, and any rotation is considered as a motion of a specific space that preserves at least one point). The distance from the center to any point on the shape stays the same during a rotation, and every point makes a circle around the center.

In summary, a rotation in math is a transformation that rotates a figure a certain number of degrees around a given point, resulting in a new figure that is congruent to the original.