What is a process you would use to create the perpendicular bisector to a segment AB using only an unmarked straightedge and an unmarked compass?

Answer 1

1. Open the compass to a width greater than half the length of AB.
2. Place the compass point at A.
3. Draw arcs above and below the line AB.
4. Move the compass point to B WITHOUT changing the compass setting.
5. Draw arcs above and below AB to intersect them at X and Y.
6. Join XY.

XY is the perpendicular bisector of AB.
7. Celebrate the successful completion of the task!