Use any method to construct and label the perpendicular bisector of line segment XY.

To construct the perpendicular bisector of line segment XY, you can follow these steps:

1. Draw line segment XY.

2. Take a compass and set its width to more than half the length of XY.

3. Place the compass point on point X and draw an arc above and below line segment XY.

4. Without changing the width of the compass, place the compass point on point Y and draw two more arcs above and below line segment XY. Make sure the arcs intersect the previous arcs.

5. Connect the intersections of the arcs above XY with a straight line. This line represents the perpendicular bisector of XY.

6. Label the intersection point of the perpendicular bisector with line segment XY as point M.

Now you have constructed and labeled the perpendicular bisector of line segment XY with the intersection point labeled as M.