#### Answer

The locus is the perpendicular bisector of line segment AB.

#### Work Step by Step

Recall, a locus is equidistant from the points no matter where you are. Therefore, first construct the original points. Then, draw a line (which is red in the diagram) that is equidistant away from the points at all points. There is a theorem that states that this will be the perpendicular bisector of line segment AB.