1. The problem involves constructing the perpendicular bisector of segment XY. 2. The steps so far are: a. Draw segment XY. b. Place the compass at X and set it to more than half the length of XY. c. Draw arcs above and below XY. d. Without changing the compass width, place the compass at Y and draw arcs above and below XY, intersecting the previous arcs at points P and Q. 3. The next step is to draw a straight line through points P and Q. This line is the perpendicular bisector of segment XY. 4. This line will be perpendicular to XY and will bisect it, meaning it divides XY into two equal parts at a right angle. 5. This construction is based on the property that the perpendicular bisector of a segment is the locus of points equidistant from the segment's endpoints. Final answer: Draw the line through points P and Q to complete the perpendicular bisector of segment XY.