# Standing on the Shoulders of Giants

- Author:
- Anthony Gillman

- Topic:
- Constructions, Geometry

Here is a line

*m*and a point C*not*on the line. Use straightedge and compass tools to construct a line perpendicular to line*m*that goes through point C. Submit your reasoning for the actions taken and try to justify your results.**Are you ready for more?**

- The line segment AB has a length of 1 unit. Construct its perpendicular bisector and draw the point where this line intersects our original segment AB. How far is this new point from A?
- We now have 3 points drawn. Use a pair of points to construct a new perpendicular bisector that has not been drawn yet and label its intersection with segment AB. How far is this new point from A?
- If you repeat this process of drawing new perpendicular bisectors and considering how far your point is from A, what can you say about all the distances?