Provide an appropriate response.Construct the perpendicular bisector of segment PQ.

Question

What will be an ideal response?

Answer 1

With radius of the compasses greater than one-half the length PQ, place the point of the compasses at P and swing arcs above (and to the left of) and below (and to the right of) line r. Then with the same radius and the point of the compasses at Q, swing two more arcs above (and to the left of) and below (and to the right of) line r. Locate the two points of intersection of the arcs above and below, and call them A and B. With a straightedge, join A and B. AB is the perpendicular bisector of PQ.