Download 1-1 Points, Lines, and Planes. definition: known words to describe a

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
Document related concepts
no text concepts found
Transcript 
September 01, 2011
1-1 Points, Lines, and Planes.
definition: known words to describe a new word
In geometry there are three undefined terms: point, line and
plane. We must be in agreement about what each is.
September 01, 2011
Point
September 01, 2011
Line
September 01, 2011
Plane
September 01, 2011
Collinear
September 01, 2011
Noncollinear
September 01, 2011
Coplanar
September 01, 2011
Noncoplanar
September 01, 2011
Segment
September 01, 2011
Ray
September 01, 2011
Opposite Rays
September 01, 2011
Intersection:
September 01, 2011
What is the intersection of 2 lines?
September 01, 2011
What is the intersection of 2 planes?
September 01, 2011
Postulate
September 01, 2011
Postulates:
1. Through any 2 pts. there is exactly one line.
2. Through any 3 noncollinear pts. there is exactly one plane
containing them.
3. If 2 pts. lie in a plane, then the line containing those pts. also
lies in the plane.
4. If 2 lines intersect, then they intersect in exactly one pt.
5. If 2 planes intersect, then they intersect in exactly one line.
September 01, 2011
E
Examples.
C
B
A
1. Name four coplanar points.
2. Name 3 lines.
D
September 01, 2011
Draw and label the following:
3. a segment with endpoints M and N.
4. opposite rays with common endpoint, T.
5. 2 lines intersecting in exactly 1 pt.
Related documents