1. Ms. Urquhart Mrs. Vander Bee
Welcome to Geometry A
Ms. Urquhart
Mrs. Vander Bee

2. Lesson 1-1 Point, Line, Plane
Participation
Chapter notes Checks
Chapter presentations/targets
In-class discussions
Projects
* I reserve the right to take away participation points for anyone who displays inappropriate behavior that takes away from the class
Lesson 1-1 Point, Line, Plane

3. Example of Binding (for the Ch.1 Note Check)
- Syllabus
- Ch 1 schedule
- 1.1 Notes
- 1.1 Homework
- 1.1 Daily Quiz
- 1.2 Notes
- 1.2 Homework
- 1.2 Daily Quiz
- 1.3 Notes
- and so on…until
- Ch. 1 Targets (Chapter Review)
Chapter Note Checks
Binder/folder set up:
Front pocket:
Syllabus
The Binding:
Chapter schedule
Notes HW DQ
Repeat 1-4 for each section
Back Pocket:
Extra resources/study aids
Lesson 1-1 Point, Line, Plane

4. Folder Check (Participation Pts)
Date
12/14/09 /
Syllabus and
Chapter Schedule
(6)
Homework Complete
(7)
Notes Complete
Misbehavior
(- points) -
Total
(x/20)
/20
Lesson 1-1 Point, Line, Plane

5. Lesson 1-1 Point, Line, Plane
What is expected of you in order to do well in my class (for participation)
Be an active member of the class
Take notes!
Answer questions
Ask questions
Stay organized!
Be prepared to present homework problems and chapter targets
Lesson 1-1 Point, Line, Plane

6. Lesson 1-1 Point, Line, Plane
Homework Policy
Graded daily on completion
To receive full credit, homework must be turned in on time
Points will be deducted for late assignments.
Lesson 1-1 Point, Line, Plane

7. What is expected of you in order to do well in my class (for HW)
DO your homework every night! (Show your work)
Afterwards, check your answers with the back of the book.
Be prepared the next day of class to ask questions about the problems you did not understand.
If you are having a lot of trouble with the homework, you should:
Look back at your class notes
Read through the book
Check out
If you happen to get more then a few wrong, even after checking out these resources, make sure to come in before school and get help from me.
Lesson 1-1 Point, Line, Plane

8. Lesson 1-1 Point, Line, Plane
Daily Quizzes
Daily Quizzes are short quizzes that only take up a ½ sheet of paper covering problems from the main ideas of last nights homework
Questions will be similar to problems done in class and problems seen in the homework
(they should not come as a surprise to you if you have done your homework).
Daily Quiz scores will be averaged out in days your are in attendance (i.e. no make-ups for absences and no points will be deducted)
Lesson 1-1 Point, Line, Plane

9. What is expected of you in order to do well in my class (for Quizzes)
Keep up with the homework and check your answers
Do your homework well! (Homework is a great studying tool)
Have questions from homework ready to ask at the beginning of class.
If you are having a lot of trouble studying for quizzes, you should:
Again, looking back at your class notes and highlight key ideas
Again, read through the book
Again, Check out (practice quizzes are there)
Go to the math room after school to get you homework done
If you are still having trouble getting good scores on your quizzes, come in before or after school to get extra help from me and we will discuss possible methods for improvement.
Lesson 1-1 Point, Line, Plane

10. Lesson 1-1 Point, Line, Plane
Tests
The 1st 60% of every test will cover the entire chapter (that we are currently on) and the 2nd 40% will be a review the previous two chapters material.
Retakes will be offered and must be taken before the next chapter test
If absent, tests must also be made-up before the next chapter test
Lesson 1-1 Point, Line, Plane

11. What is expected of you in order to do well in my class (for Tests)
Keep you binders organized because it will be a better tool for studying!
Go over old homework and quizzes
Make corrections in all of your work
Complete the chapter target and review packets
If you are having a lot of trouble studying for Tests, you should:
Again, looking back at your class notes and highlight key ideas
Again, read through the book
Again, Check out
Go to the math room for extra help
come in before or after school to get extra help from me and we will discuss possible methods for improvement.
*If you did not do well on a test and want to retake it, it is a good idea to come in and go over it with me before you do so.
Lesson 1-1 Point, Line, Plane

12. Do I need algebra for Geometry?
In Algebra, equations are just given to you to solve.
In Geometry, however, you are asked to develop the equations yourself given the context of the problem.
Therefore, algebra provides the tools necessary to complete problems geometry.
(Therefore, if you struggled with Algebra 1 it is a good idea to seek extra help early on in the course)
Lesson 1-1 Point, Line, Plane

13. Identify Points, Lines, and planes
Lesson 1-1
Identify Points, Lines, and planes
Lesson 1-1 Point, Line, Plane

14. Points (Undefined term)
Points do not have actual size.
How to Sketch:
Using dots
How to label:
Use capital letters
Never name two points with the same letter
(in the same sketch). A B C A
Lesson 1-1 Point, Line, Plane

15. Lines (Undefined Term)
Lines extend indefinitely and have no thickness or width.
How to sketch : using arrows at both ends.
How to name: 2 ways
(1) small script letter – line n
(2) any two points on the line -
Never name a line using three points - n A B C
Lesson 1-1 Point, Line, Plane

16. Lesson 1-1 Point, Line, Plane
Collinear Points
Collinear points are points that lie on the same line. (The line does not have to be visible.)
A point lies on the line if the coordinates of the point satisfy the equation of the line.
Ex: To find if A (1, 0) is collinear with
the points on the line y = -3x + 3.
Substitute x = 1 and y = 0 in the equation.
0 = -3 (1) + 3
0 =
0 = 0
The point A satisfies the equation, therefore the point is collinear
with the points on the line. A B C
Collinear C A B
Non collinear
Lesson 1-1 Point, Line, Plane

17. Lesson 1-1 Point, Line, Plane
Planes
A plane is a flat surface that extends indefinitely in all directions.
How to sketch: Use a parallelogram (four sided figure)
How to name: 2 ways
(1) Capital letter without a dot – Plane M
(2) Any 3 non-collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA
Link to movie on green plane A M B C
Horizontal Plane
Vertical Plane
Other
Lesson 1-1 Point, Line, Plane

18. Different planes in a figure:B
Plane ABD
Plane FGH
Plane BCF
Plane DHE
Plane BEF
Plane CDG
Etc. D C E F H G
Lesson 1-1 Point, Line, Plane

19. Other planes in the same figure:
Any three non collinear points determine a plane!
Plane FGD
Plane ACE
Plane ACH
Plane AGF
Plane BDG
Etc.
Lesson 1-1 Point, Line, Plane

20. Lesson 1-1 Point, Line, Plane
Coplanar Objects
**Remember: Any 3 non-collinear points determine a plane!
Coplanar objects (points, lines, etc.) are objects that lie on the same plane. The plane does not have to be visible.
Are the following points coplanar?
A, B, C ?
Yes
A, B, C, F ? No
H, G, F, E ?
Yes
E, H, C, B ?
Yes
A, G, F ?
Yes
C, B, F, H ? No
Lesson 1-1 Point, Line, Plane

21. Lesson 1-1 Point, Line, Plane
Example 1
a. Give two other names for
b. Give two other names for plane R
c. Name three points that are collinear
d. Name four points that are coplanar.
Line n and QP
plane VSP, plane SVT, plane PVT, etc.
points S,P, and T
Points T,V,S, and P or points S,P, T, and Q
Lesson 1-1 Point, Line, Plane

22. Lesson 1-1 Point, Line, Plane
Segment
a straight line which links 2 points without extending beyond them.
The symbol for line segment AB is
Lesson 1-1 Point, Line, Plane

23. Lesson 1-1 Point, Line, Plane
Rays B A
have a beginning point but no end point.  Think of sun's rays: they start at sun and go on forever...
Opposite Rays: 2 rays that lie on the same line, with a common endpoint and no other points in common. 
How to Name? AB
Opposite rays form a straight line and/or a straight angle (180°).
AB and AC are opposite rays
*When labeling: we always start with the endpoint first and the arrow points to the right.
Lesson 1-1 Point, Line, Plane

24. Lesson 1-1 Point, Line, Plane
EXAMPLE 2
a. Give another name for .
b. Name all rays with endpoint J.
Which of these rays are opposite rays?
Lesson 1-1 Point, Line, Plane

25. Intersection of Figures
The intersection of two figures is the set of points that are common in both figures.
The intersection of two lines is a point. m
Line m and line n intersect at point P. P n
Continued…….
Lesson 1-1 Point, Line, Plane

26. 3 Possibilities of Intersection of a Line and a Plane
(1) Line passes through plane – intersection is a point.
(2) Line lies on the plane - intersection is a line.
(3) Line is parallel to the plane - no common points.
Lesson 1-1 Point, Line, Plane

27. Intersection of Two Planes is a Line.B P A R
Plane M and Plane P intersect at the line
Lesson 1-1 Point, Line, Plane

28. Lesson 1-1 Point, Line, Plane
GUIDED PRACTICE
Use the diagram at the right.
5. Name the intersection of and line k.
6. Name the intersection of plane A and plane B.
7. Name the intersection of line k and plane A.
Point M
line k
line k
Lesson 1-1 Point, Line, Plane