Day 1 - Aug 18 - Points, Lines and Planes.notebook
Geometry CP/Honors
Unit 1 Segments
August 19th, 2021
Topic: Points, Lines, Planes and Space
August 18, 2021
Day 3
Essential Questions: What are the undefined terms of Geometry and how are they
named?
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
Some real world objects
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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There are four concepts that matematicians had to make up names for in order to
be able to represent real word objects in three dimensional space.
Concepts
A single location - No dimensions - ____________________
Straightness - 1 dimension - ____________________
Flatness - 2 - dimensions - ___________________
Surroundings - 3 dimensions - __________________
Conceptually, lines and planes go on forever. In a drawing, we are showing the part of the
plane or line that physically exists.
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
A line contains an _________ # of ________
A plane contains an ___________ # of _________ and _______
Space contains an ____________ # of _________, ________ and planes.
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
If you name a point, line, or plane,
1) No other different point, line or plane could have the same name.
2) You should know exactly which object I am talking about.
A point is named with a single, captial letter.
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
Lines and planes can be named in multiple ways, and are usually
named by points on them
Some terms
Colinnear - _____________________
Noncolinnear - ___________________
Coplanar - _____________________
Noncoplanar - ___________________
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
To name a line, ask yourself how many points you would have to connect with
a straight edge.
Answer: _________________
So we say ____________________________________________
Ways to name a line:
1) ___________________________
2) ___________________________
k
Example:
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
To name a plane, ask yourself what is the least number of points you would
have to with a straight edge to create a shape of flat surface.
Answer: _________________
So we say ____________________________________________
Ways to name a plane:
1) ___________________________
2) ___________________________
Example:
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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Parts of lines
Part of a line that does not go on forever in either direction: ____________
Points where it starts and stops are called ___________
Example
Names:
Part of a line that starts at a point and goes on forever in one direction: __________
Example:
Names:
Two rays with a common endpoint that form a straight line: _________________
Example:
Names:
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
Practice
Object in picture
1)
2)
3)
August 18, 2021
Names
R
A
B
A
B
C
M
N
4)
L
5)
B
C
A
6)
R
Opposite Rays
S
T
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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Two points are ________ colinnear
Three points are _________ colinear
Three points are _________ coplanar
Four points are __________ coplanar
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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Intersections
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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If two lines intersect, they intersect in a ___________.
If two planes intersect, they intersect in a _______________.
If a plane and a line intersect, they intersect in a _____________ or a ___________________
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
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Practice:
The intersection of line m and Plane N. ______________
The intersection of plane N and M. _____________
The intersection of plane N and line l. ______________
Do lines m and l intersect? _______________
Draw a line containing point P that intersects line l
at point R. ___________________
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Day 1 - Aug 18 - Points, Lines and Planes.notebook
August 18, 2021
Classwork/Homework
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