Final answer:
A rotation involves a center, an angle, and a radius, where the object rotates around the center by a certain angle and each point follows a path defined by the radius.
Step-by-step explanation:
A rotation is a transformation that satisfies several characteristics, each associated with a circle. To define a rotation, one needs a center around which the rotation occurs, an angle that describes the amount of rotation, and a radius that connects the center to any point on the object being rotated. This radius, when swept around the center by the angle of rotation, describes an arc on the circumference of a circle. Therefore, the correct options for a rotation's characteristics are: B. Angle, C. Center, and D. Radius.