Points, Lines, and Planes

1. Points, Lines, and Planes

2. Point A location Has no size Represented by a small dot Named by a capital letter A set of points is a geometric figure Space – A set of all points

3. Line Series of points that extends in two opposite directions without end Named by any two points AB BA Also named by single lowercase letter such as m A B m

4. Collinear points Points that lie on the same line n m m G F E D P l Are E, F, and G collinear? Are E, F, and D collinear

5. Plane Flat surface that has no thickness contains many lines Extends without end in direction of all lines Named by either a single capital letter Or three noncollinear points Coplanar Points and lines in the same plane

6. P B A C Plane P Plane ABC

7. H G E F C A B What are ways to name the front of the cube?

8. Assignment Page 13 Problems 1-16 Block 2 Workbook Page 2 Problems 1 - 15

9. Postulate 0r Axiom An accepted statement of fact Postulate 1 – 1 Through any two points there is exactly one line B A

10. Postulate 1 – 2 If two lines intersect, then they intersect in exactly one point B A C E D Used when solving systems of equations

11. Postulate 1 -3 If two planes intersect, then they intersect in exactly one line Plane RST and plane STW intersect in ST W R T S

12. Postulate 1 – 4 Through any three noncollinear points there is exactly one plane H G What is plane ABC? Name another point that is in the same plane as points A, B , and C? E F D C A B

13. H G E F C D A B Where is the plane that contains E,H, and C? Name another point that is coplanar with points E, H, and C.

14. Assignment Block 1 Page 14 17 – 37 ,60 – 65 Block 2 Practice 1-2 16 - 31