There will shortly be a pdf file with the figures for this part of the portfolio.
Construct the following in the Poincare model with GSP or by hand and turn in.
Also, be prepared to explain or carry out any of these constructions on other
occasions.
All points are P-points and all lines are P-lines unless otherwise specified.
1. Construct the line through 2 points A and B. For a point C not on line AB,
construct the two lines through C that are converging parallel to line AB.
2. For a point C not on line AB, construct the line through C perpendicular to line AB. Construct the reflection of C in line AB.
3. For two points A and B, construct the perpendicular bisector of AB.
4. For two points A and B, construct the circle with center A through B.
5. For two ultraparallel lines construct the common perpendicular to these lines.
6. Given a polygon (this will be provided), reflect the polygon across its sides and then reflect across the sides of the image polygons to give the start of a tessellation.