Geometry Notes 1.1: Points,Lines, and Planes
- Author:
- cprystalski
1. Name 3 collinear points
2. Name 3 noncollinear points:
3. Name a plane.
4. Name in a different way. (Choose all that apply)
) and then drag it. Notice how the part of the line that is behind the plane is dashed.
Draw plane CEA (
), and then drag it.
Then delete the line and plane that you drew.
5. If possible, draw a line through E and C. Are E and C collinear?
6. If possible, draw a line through E, G, and C. Are E, G, and C collinear?
7. If possible, name two points that are non collinear, because you CANNOT draw a line through them.
8. If possible, draw a plane through D, B, and F. Are D, B, and F coplanar?
9. If possible, draw a plane through A, G, E, and B. Move the diagram around to see if the four points are on the plane. Are A, G, E, and B coplanar?
10. If possible, name 3 points that are NOT coplanar, because you CANNOT draw a plane through them.
11. Name the intersection of and .
12. Name the intersection of and (the lines are not shown)
)
b) Draw two points on the plane, and draw the line through them. (
and )
c) Draw two points NOT on the plane, draw the line through them. (
and )
d) Use dashed segments to make it clear that that line is not on the plane. (
)
Drawing a 3D diagram in two dimensions!
Try #16 on your own:
tool.
b) Sketch using the tool.
c) Add a point R on the line so that Q is between P and R. Try #17 on your own, except for d).
tool.
b) Put point Q on the plane using the tool.
c) Draw so that it intersects the plane only once.
d) We can use the segment tool to do a pretty good job of creating a dashed section.