1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes Math Humor
Question:What did the little acorn say when it grew up?
A: “Geometry”
Gee I'm a tree!
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes undefined term
­
basic figures in geometry ­
cannot be defined by using other figures
­
building blocks of geometry
(THREE terms)
1. point
DIAGRAM
NAME
ex.
­
names a location and has no size
­
has no dimension
­
represent with a dot
⇒
P
⇒ capital letter
point P
or
P
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes 2. line
­
a straight path that has no thickness
­
extends forever
­
one­dimension
**** made up of infinitely many points
DIAGRAM
NAME
ex.
a lowercase letter or two points on the line
line l
or
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes 3. plane
­
a flat surface that has no thickness
­
extends forever in all directions
­
one­dimension
**** made up of infinitely many lines
DIAGRAM
NAME
ex.
a script capital letter or three points not on a line
plane R
or
plane ABC
1­1 points, lines, and planes with NOTES.notebook
objectives:
August 26, 2016
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes collinear
points that lie on the same line
noncollinear
DO NOT lie on the same line
ex.
**
**
F and G are collinear.
F, G, and H are noncollinear.
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes coplanar
noncoplanar
points or lines that lie in the same plane
DO NOT lie in the same plane
ex.
**
**
W, X, Y, and Z are noncoplanar.
W, X, and Y are coplanar.
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes segment
part of a line consisting of two pts and all pts
(line segment) bet. them
DIAGRAM
NAME
two endpoints
ex.
endpoint
a point at one end of a segment
or
the starting point of a ray
DIAGRAM
NAME
ex.
capital letter
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes ray
part of a line that starts at an endpoint
and extends forever in one direction
DIAGRAM
first
NAME
endpoint and any other point on the ray
ex.
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes Opposite rays
rays that have a common endpoint and
form a line
DIAGRAM
NAME
common endpoint and any other point on
each ray
ex.
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
objectives:
• Identify, name, and draw points, lines, segments, rays, and planes. • Apply basic facts about points, lines, and planes Guided
Practice
Draw and label a diagram for each figure.
1. point W
2. line MN
1­1 points, lines, and planes with NOTES.notebook
Name each figure using words and symbols.
August 26, 2016
1­1 points, lines, and planes with NOTES.notebook
August 26, 2016
Use the figure for Exercises 9–14. Name each of the following.
9. three collinear points
10. three noncollinear points
11. four coplanar points
12. four noncoplanar points
1­1 points, lines, and planes with NOTES.notebook
HOMEWORK
Textbook page 9 #'s 1­12
August 26, 2016