Axiomatic Geometry - Mathematics 360 - Spring 2009

For Homework 20

1. Describe a procedure for each of the following, using a compass and straightedge only.
   1. Find the midpoint of a hyperbolic line segment.
   2. Given a hyperbolic line L and a point P not on L, draw a hyperbolic line through P perpendicular to L. You may use part (a) (assume midpoints can be constructed without having to give instructions).
2. Describe a procedure for reflecting a point in a hyperbolic line by using a compass and straightedge only. You may use the above.
3. Can you find a way to construct two hyperbolic lines that share an ideal point?