Which geometric object is defined as the set of all points in a plane that are equidistant from two points?A.CircleB.Line segmentC.ParabolaD.Line

The geometric object defined as the set of all points in a plane that are equidistant from two points is known as a perpendicular bisector of the segment joining those two points. However, among the provided options, the closest match would be:

A. Circle

A circle is defined as the set of all points in a plane that are a fixed distance (the radius) from a central point. For two points, one can also consider a smaller circle with its center at the midpoint of the segment connecting the two points, which can yield all points that are equidistant from both points only if the radius is exactly the distance from that midpoint to either point.

In summary, while the perpendicular bisector fits the definition precisely, the answer that most closely corresponds with options provided is A. Circle.