1. Lesson 11.6
Constructions pp

2. Objectives: 1. To identify when a figure in space can be constructed.
2. To construct congruent subdivisions of a segment.
3. To construct a regular hexagon from a circle.
4. To identify the three impossible constructions that intrigued the ancient Greeks.

3. The Three Impossible Constructions:
1. Squaring the circle
2. Doubling a cube
3. Trisecting an angle

4. Homework pp

5. ■ Cumulative Review 19. point A and perpendicular to EA
Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic.
19. point A and perpendicular to EA

6. ■ Cumulative Review 20. point B and perpendicular to EC
Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic.
20. point B and perpendicular to EC

7. ■ Cumulative Review 21. point A and parallel to EB
Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic.
21. point A and parallel to EB

8. ■ Cumulative Review 22. point D and parallel to EC
Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic.
22. point D and parallel to EC

9. ■ Cumulative Review 23. midpoint of ED and perpendicular to ED
Copy the figure onto your paper for each construction below. Construct a line through the given point with the given characteristic.
23. midpoint of ED and perpendicular to ED