Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point

B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it

C. the line that is a perpendicular bisector of the segment connecting the two points

D. the line that has the given points as endpoints