1. Lesson 10.1
Perspective in Space pp

2. Objectives:
1. To draw figures in perspective (one- point, two-point, and three-point).
2. To sketch three-dimensional figures such as cones, cylinders, and prisms.

3. A drawing that captures the real-life appearance is a perspective drawing. There are two main components of perspective drawings. One is the vanishing point(s) and the other is the horizon.

4. The horizon is at the eye level of the observer, and the vanishing point, where parallel lines meet, is located on the horizon. There are three types of perspective drawings distinguished by the number of vanishing points.

5. One-point perspective

6. Two-point perspective

7. Three-point perspective

8. Isometric - no vanishing points

9. Theorem 10.1
If the endpoints of a segment are equidistant from two other points, then every point between the endpoints is also equidistant from the other two points.

10. P X A B Q

11. P B A Q

12. P X A B Q

13. Draw the intersection of a plane with a right triangular prism if the plane cuts each base on the dotted line.
cut line
cut line

14. Draw the intersection of a plane with a right triangular prism if the plane cuts each base on the dotted line.
cut line
Shape is
a trapezoid
cut line

15. Homework pp

16. 8. A horizontal plane

17. 9. Draw a picture of the intersection of the surface and a vertical plane.

18. 9. Draw a picture of the intersection of the surface and a vertical plane.

19. 10. A horizontal plane.

20. 12. Three cubes, all with different one-point perspectives.

21. 13. Two cubes, each with different two-point perspectives.

22. 14. A rectangular prism drawn from a three-point perspective.

23. 19. Maintaining the perspective, draw a couch along one wall and a window on the adjacent wall.

24. 19. Maintaining the perspective, draw a couch along one wall and a window on the adjacent wall.

25. 19. Maintaining the perspective, draw a couch along one wall and a window on the adjacent wall.

26. 19. Maintaining the perspective, draw a couch along one wall and a window on the adjacent wall.

27. ■ Cumulative Review
True/False
21. Two distinct lines can intersect at two distinct points.

28. ■ Cumulative Review
True/False
22. Two parallel lines are contained in exactly one plane.

29. ■ Cumulative Review 23. If ST = ½SV, then T is the midpoint of SV.
True/False
23. If ST = ½SV, then T is the
midpoint of SV.

30. ■ Cumulative Review
True/False
24. A line and a point not on that line are contained in exactly one half-plane.

31. ■ Cumulative Review 25. Two intersecting lines are always coplanar.
True/False
25. Two intersecting lines are always coplanar.