1. Lesson 1-1 Point, Line, Plane
Do Now
Draw a line
Place two points on your line and call them A and B
Lesson 1-1 Point, Line, Plane

2. Lesson 1-1 Point, Line, Plane

3. Lesson 1-1 Point, Line, Plane
Points
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

4. Lesson 1-1 Point, Line, Plane
Lines
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

5. Lesson 1-1 Point, Line, Plane
DO NOW
Draw a line.
Place points E, F, and G on the line
Place a lower case r next to the line
Name the line in as many ways as possible.
Lesson 1-1 Point, Line, Plane

6. Lesson 1-1 Point, Line, Plane

7. Draw lines m and n that intersect at point P
Lesson 1-1 Point, Line, Plane

8. Lesson 1-1 Point, Line, Plane
Draw line segment PQ
Lesson 1-1 Point, Line, Plane

9. 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

10. 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 script letter – Plane M
(2) Any 3 non collinear points in the plane - Plane: ABC/ ACB / BAC / BCA / CAB / CBA A M B C
Horizontal Plane
Vertical Plane
Other
Lesson 1-1 Point, Line, Plane

11. Different planes in a figure:B
Plane ABC
Plane EFG
Plane BCG
Plane ADH
Plane ABF
Plane CDH
Etc. D C E F H G
Lesson 1-1 Point, Line, Plane

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

13. Lesson 1-1 Point, Line, Plane
Coplanar Objects
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

14. 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

15. 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

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