Perpendicular to a Segment Through a Non-collinear Point
1. Create a circle with center at C that intersects segment AB at two different points (not A or B).
2. Create points D and E at those points of intersection.
3. Create a circle with a center at D that goes through E.
4. Create a circle with a center at E that goes through D.
5. Create Point F at the intersection below segment AB.
6. Create line CF.
Line CF is perpendicular to segment AB.