Holt McDougal Geometry revision ppt for Chapter 1-1. Created by Candace Ho. ALL RIGHTS RESERVED

1. Chapter One ReviewFoundations for GeometryPart 1/4 Holt McDougal ©Candace Ho

2. Understanding Points, Lines, and Planes(Page 6) 1-1 Learning Target 1 Identify, name, and draw points, lines, line segments, rays, and planes, as well as their basic properties.

3. Vocabulary

4. Vocabulary

5. Vocabulary

6. Postulates Example Diagram Postulate for Points, Line, and Planes 1-1-1 Through any two points there is exactly one line 1-1-2 Through any three noncollinear points there is exactly one plan containing them 1-1-3 If two points lie on a plane, then the line containing those points lies in the plane

7. Postulates Continued Example Diagram Postulate for Intersection of Lines and Planes 1-1-4 If two lines intersect, then they intersect in exactly one point 1-1-5 If two planes intersect, then they intersect in exactly one line

8. Basically, all the slides above with the vocabulary and postulates…are very self explanatory. All you have to do, is make sure you KNOW THEM. Because those are the basics and the basics really help you with the further math in this chapter. So take some time to go through the last 5 slides and memorize EVERYTHING. What you learned so far

9. So, here in this example, its asking you to name points, lines, and planes. Obviously you know that point is a dot with a capital letter which looks like this A Line looks like this and in this case you would name the line like b basically represented with a on top of the two points in the line or a lowercase letter To name a plane, you can name this plane = Plane ABC or with a capital script letter R Example 1 (page 6)Naming points, lines, and planes

10. Try Ex. 1 Out! Grab a piece of paper and try these problems out! The answers will b on the last slide of the chapter…so NO CHEATING! Do the problems…then check your answers at the very end of the chapter… HERE WE GO Name 2 points that are on plane S Name the line that passes through Plane T Name Plane S differently Which Plane is point H on?

11. So, if you look at the vocabulary in this chapter, you will need to know what a segment and a ray looks like and how to draw them. A segment looks like this and you label segments like this which is basically this on top of the two endpoints of the segments, which in this case is Point A and Point B Rays look like this and to label it, you need to identify the endpoint (in example its Point R) and another point on the line. Then put, in this example, RS together and put this on top to label the ray like Example 2 (page 7)Drawing segments and rays

12. Opposite rays look like this and you would name it like . First, identify the endpoint (the middle one) which is Point E. Then identify the other two points, one on each ray which is Point F and G . Then put EF and EG underneath the sign. Example 2 continued

13. Try Ex. 2 Out! Grab a piece of paper and try these problems out! The answers will b on the last slide of the chapter…so NO CHEATING! Do the problems…then check your answers at the very end of the chapter… HERE WE GO Draw the following 5. A segment with endpoints F and G 6. A ray with endpoint Z that passes through Y Name the following (e.g. segment or ray/how to name it) 7. 8. T S

14. So, I think you can do this! Basically you have to name the point and lines in a plane! In this diagram, the points in the plane would be Point G, H, and F. The line would be Line n or GH Example 3 (page 7)Identifying Points and lines in a plane

15. Try Ex. 3 Out! Grab a piece of paper and try these problems out! The answers will b on the last slide of the chapter…so NO CHEATING! Do the problems…then check your answers at the very end of the chapter… HERE WE GO Use the figure to name each of the following 9. Name a line that contains point B and C 10. Name a plane that contains points D, B, and A

16. So here are two examples of intersection Example 4 (page 8)Representing Intersection You can see how the intersection is showed by dotted lines 

17. Try Ex. 4 Out! Grab a piece of paper and try these problems out! The answers will b on the last slide of the chapter…so NO CHEATING! Do the problems…then check your answers at the very end of the chapter… HERE WE GO 11. According to this diagram, plane ________ intersects with plane N. 12. According to this diagram, line m lies on plane_______ but goes straight through plane_________.

18. Answers 1. Point H, J, G, and F works fine (any 2 of those) 2. Line m or HJ or JH 3. Plane HJG or Plane JGF or Plane GFH… 4. Plane S 5. 6. 7. segment ST 8. Opposite Ray QP and QR 9. BC or BA 10. Plane DBA or BAC or CAD or Plane M 11. . According to this diagram, planeF intersects with plane N. 12. . According to this diagram, line m lies on plane S but goes straight through plane T. G F Y Z