1-2: Points, Lines, and Planes Basic Geometry Terms.
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Transcript of 1-2: Points, Lines, and Planes Basic Geometry Terms.
![Page 1: 1-2: Points, Lines, and Planes Basic Geometry Terms.](https://reader036.fdocuments.net/reader036/viewer/2022072111/5697bfab1a28abf838c9afec/html5/thumbnails/1.jpg)
1-2: Points, Lines, and Planes
Basic Geometry Terms
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Undefined Terms
Definition of words
Consist of other words
How do you define the first word?
Philosophy Class?
Every end has a start
Every effect has a cause
Geometry undefined terms
Point, line, and plane
Used to build the definitions of other figures
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Undefined Terms
Point – indicates a location and has no size
Line – represented by a straight path that extends in two opposite directions without end and has no thickness. A line contains infinitely many points.
Plane – represented by a flat surface that extends without end and has no thickness. A plane contains infinitely many lines.
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Undefined Terms
Collinear Points – points that lie on the same line
Coplanar – when points and/or lines lie on the same plane
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Defined Terms
Segment – part of a line that consists of two endpoints and all points between them.
Ray – part of a line that consists of one endpoint and all the points of the line on one side of the endpoint
Opposite rays – two rays that share the same endpoint and form a line
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Example Use the diagram to answer each question.
- Name two coplanar lines.
- Name three non-collinear points.
- Name the plane two different ways.
- Name a pair of opposite rays.
W
X
Z
Y
V
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Take Home Message
Undefined terms are used as building blocks of Geometry (and Math)
Geometry will have a lot of vocabulary words
The concepts will give us algebraic equations
Geometry will enhance our artistic abilities
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1.2 Continued
Postulate – accepted statement of fact
Like undefined terms, used as building blocks of the logical system in geometry
Also known as axioms
Postulate 1.1- through any two points, there is exactly one line
Postulate 1.2- if two distinct lines intersect, then they intersect in exactly one point.
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1.2 Continued
Postulate 1.3- if two distinct planes intersect, then they intersect in exactly one line
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1.2 Continued
Postulate 1.4 – through any three noncollinear points, there is exactly one plane
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Where does Plane ABCD intersect
Plane ACEG?
What plane contains the points
C, D, and B?
What plane contains the points
E, F, and C?
Example
A
C
B
E
G
F
H
D
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Take Home Message
Postulates are assumed to be true
No formal proof
Relationship between dimensions
A point is the intersection of two lines
A line is the intersection of two planes
A plane is the intersection of 3D figures