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LESSON OBJECTIVES
1. Understand the undefined terms in
geometry.
2. Identify points, lines, and planes.
3. Illustrate points, lines, and planes.
4. Show and value determination and
collaboration in completing tasks.
POINT
LINE
AND
PLANE
• 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.
Undefined Terms
• Point – indicates a location and
has no size
Undefined Terms
• Line – represented by a straight
path that extends in two opposite
directions without end and has
no thickness. A line contains
infinitely many points.
Undefined Terms
• Plane – represented by a flat
surface that extends without end
and has no thickness. A plane
contains infinitely many lines.
Undefined Terms
• Collinear Points – points that lie
on the same line.
Undefined Terms
• Coplanar – when points and/or
lines lie on the same plane.
Undefined Terms
• Segment – part of a line that
consists of two endpoints and all
points between them.
Undefined Terms
• Ray – part of a line that consists
of one endpoint and all the points
of the line on one side of the
endpoint.
Examples
- 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
Postulates
• Postulate – accepted statement or 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.
Postulates
• Postulate 1.2- if two distinct lines
intersect, then they intersect in exactly
one point.
• Postulate 1.3- if two distinct planes
intersect, then they intersect in exactly
one line.
Postulates
• Postulate 1.4 – through any three
noncollinear points, there is exactly one
plane.
Examples
• 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?
A
C
B
E
G
F
H
D
TRUE or FALSE
QUIZ
Click to start
1. A point indicates a location
and has no size.
TRUE FALSE
Correct!
Next
Ooopss! Wrong.
Back
2. A ray is a part of a line that
consists of one endpoint and
all the points of the line on one
side of the endpoint
TRUE FALSE
Correct!
Next
Ooopss! Wrong.
Back
3. Through any two points, there
is exactly one plane.
TRUE FALSE
Correct!
Next
Ooopss! Wrong.
Back
4. A ray is part of a line that
consists of two endpoints and
all points between them.
TRUE FALSE
Correct!
Next
Ooopss! Wrong.
Back
5. A line contains infinitely many
points.
TRUE FALSE
Correct!
Next
Ooopss! Wrong.
Back
THE QUIZ ENDS HERE
ASSIGNMENT
Name the following:
1. Points
2. Lines
3. Plane
A
C
B
E
G
F
H
D

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Point, Line and plane