What term describes the number of times a figure can be mapped onto itself during a 360-degree rotation?

The term that describes the number of times a figure can be mapped onto itself during a 360-degree rotation is known as the order of symmetry. This concept relates to how many distinct orientations the figure has that coincide with its original position after being rotated. For instance, if a shape can fit into its original outline twice during a full turn, it has an order of symmetry of 2. This is relevant in understanding the symmetry properties of various geometric figures, as it helps categorize and analyze their rotational symmetries effectively.

The other terms, while related to the study of symmetry and rotations, do not specifically refer to the number of times a figure coincides with its original position in one full rotation. The angle of rotation relates to the degree each rotation represents, the degree of rotation refers to the extent of the rotation itself, and the symmetry axis describes a line about which the figure can be reflected or rotated to yield congruence. However, none of these definitions capture the specific characteristic that the order of symmetry does.