# Points, Lines, and Planes

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Curipod generated lesson: "Points, Lines, and Planes". #8-10

1. Word cloud
120 seconds
Name three basic shapes in geometry.
2. Slide
60 seconds
Name lines, rays, and segments. Determine the intersection of two planes. Work with collinear and coplanar points.
Learning objective:
3. Slide
60 seconds
Point: A location in space with no dimensions. It has no length, breadth, or height. Line: A one-dimensional figure that extends infinitely in two directions. It has length, but no width or height. Plane: A two-dimensional figure that extends infinitely in two directions. It has length and width, but no height.
Concepts:
4. Slide
60 seconds
In geometry, the shortest distance between two points is a straight line, but the longest distance is a zigzag line. The plane is a two-dimensional surface that extends infinitely in every direction.
Did you know?
5. Slide
60 seconds
Ways to Name Things
You can represent a point by a dot and name it by a capital letter, such as A.
6. Slide
60 seconds
Collinear Points: Points that lie on the same line. Coplaner: Points and lines that lie in the same plane. All points on a line are also coplaner.
Concepts:
7. Slide
60 seconds
Ways to Name Things
You can name a line by any two points on the line, such as AB (read “line AB”) or BA, or by a single lowercase letter, such as line l.
8. Slide
60 seconds
Ways to Name Things
You can name a plane by a capital letter, such as Plane P, or by at least three points that do not lie on the same line, such as Plane ABC.
9. Open question
180 seconds
Work together in pairs: What is the difference between a line and a line segment?
10. Open question
180 seconds
Work together in pairs: What is the definition of a line segment and how is it different from a ray?
11. Open question
210 seconds
What do you think opposite rays look like?
12. Slide
60 seconds
Postulates are statements that are accepted as true without the need for proof or evidence. These statements are the basis of a logical argument. Axioms are self-evident truths that are accepted as the basis of an argument. These truths are assumed to be true and do not have to be proven. A logical argument is an argument based on facts, postulates, and axioms that leads to a conclusion. This conclusion is typically based on logical reasoning and valid evidence.
Concepts:
13. Slide
60 seconds
Postulate 1-1
Through any two points there is exactly one line.
14. Slide
60 seconds
Postulate 1-2
If two distinct lines intersect, then they intersect in exactly one point.
15. Slide
60 seconds
Postulate 1-3
If two distinct planes intersect, then they intersect in exactly one line.
16. Slide
60 seconds
Postulate 1-4
Through any three noncollinear points there is exactly one plane.
17. Personalised Feedback
360 seconds
How are points, lines, and planes related in geometry?
18. Poll
60 seconds
What is the definition of a line?
• A straight path that extends infinitely in both directions
• A collection of points
• A curved shape
19. Poll
60 seconds
How many points are needed to uniquely determine a line?
• Three points
• Four points
• Two points
20. Poll
60 seconds
What is the definition of a plane?
• A flat surface that extends infinitely in all directions
• A three-dimensional object with length, width, and height
• An intersection of two lines
21. Slide
60 seconds
Lesson 1.1 Classwork
Complete Page 16-17: #8-14 all #15-21 odd #27-35 odd