- Identify points/lines that are collinear, coplanar, non-collinear, and non-coplanar.
- Define and name segments and rays
Defined Terms: Points, Lines, and Planes
Now we can use point, line, and plane to define new terms. One word that has already been used is space. Space is the set of all points expanding in three dimensions.
Space is the set of all ___________________________ expanding infinitely in three dimensions.
The prefix “co-” means "with".
Some other words that use “co-” are: co-pilot (pilot something with someone else), cooperate (operate with someone else), and co-exist (exist with someone else).
Can you think of other words that use the prefix “co-”?
Collinear and Non-Collinear
Collinear points lie on the _______________________ line.
Non-collinear points do not lie on the same _______________________.
1. Which points are collinear in the picture below?
2. Which points are non-collinear?
Coplanar and Non-Coplanar
- Points and lines are coplanar when they lie in the same ____________________.
1. Look around the space you are in right now.
What planes do you see? What points lie in those planes?
2. The ground or floor underneath you is a plane.
What is a point that is non-coplanar with the ground or the floor?
Segments, Rays, and Endpoints
- A line segment has two ______________________________, which is how the segment is named.
- A ray has one ______________________ and extends ________________________ in the other direction.
- A ray is named by two points on it, with the endpoint ________________________.
1. Name each of the following figures: