What represents the locus of a single point?

The correct answer is a circle around the point because a locus represents all the positions that satisfy certain conditions regarding a specific point. In this case, when discussing the locus of a single point, it refers to all the points that are at a fixed distance from that point. This fixed distance describes a circle, where the center of the circle is the given point.

A circle contains all the points that are equidistant from the center, illustrating that the locus of a single point is indeed a circular shape around that point. This concept is foundational in geometry, where the definition of a circle involves the idea of a locus based on distance.

Other shapes, such as lines or intersecting lines, do not represent the locus of a single point correctly because they do not maintain a consistent distance from a single center. Only the circle appropriately captures the essence of a constant distance from the designated point, making it the accurate representation of the locus in this context.