Segment ED is the perpendicular bisector of segment AB.
Work Step by Step
Step 1: Place the compass point on A. Set the compass width to about two-thirds the length of AB. The exact setting of the compass does not matter. Step 2: Draw a long arc that begins well above segment AB and ends well below the segment. Step 3: Without changing the compass' setting, place the compass point on B and draw a long arc that intersects the previous arc above and below segment AB. Step 4: Label the two arc intersection points as D and E. Using a straightedge, connect points D and E. Step 5: Segment ED is the perpendicular bisector of segment AB.