The Perpendicular Bisector (and midpoint) of a segment with ruler and compass
Observe in the figure above how you can build, with just a ruler and a compass, the perpendicular bisector of a segment.
- Build it on the figure below, using the tools at the top.
- How would you define the perpendicular bisector of a segment? Is the line located where?
- Shift the ends of the initial segment and check that the construction maintains its validity.
- Draw a point on the perpendicular bisector and measure its distance to the two ends of the initial segment. What do all the points of the perpendicular bisector of a segment meet