1.1 PPT

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Understanding
Points,
Understanding
Points,
Lines, and Planes
1-1
1-1
Lines, and Planes
Warm Up
Lesson Presentation
Lesson Quiz
Holt Geometry
1-1 Understanding Points, Lines, and Planes
Warm Up
Graph each inequality.
1. What is the difference between an expression and an
equation?
An expression doesn’t have an equal sign.
2. Simplify: -y+12x+3y-6x
2y+6x
3.
Evaluate: x+3x+7x for x=-5
-55
Holt Geometry
1-1 Understanding Points, Lines, and Planes
Objectives
Identify, name, and draw points, lines,
segments, rays, and planes.
Apply basic facts about points, lines,
and planes.
Holt Geometry
1-1 Understanding Points, Lines, and Planes
Name
Point
What it is
~No dimension
What it looks
like
•
How we
name it
Point D or D
dot
Line
~ One dimension
Straight path that
goes on forever
Plane
Segment
Holt Geometry
~ Two dimension
Flat surface that extends
forever
~ One dimension
Part of a line consisting
of two endpoints
AB
Plane V or
Plane RST
AB
1-1 Understanding Points, Lines, and Planes
Name
What it is
Ray
~ One dimension
Consists of one endpoint
and one line
Opposite
Rays
Holt Geometry
Two rays with a common
endpoint. Point in opposite
directions. Form a straight
line.
What it looks
like
How we
name it
AB
Only correct
answer:
1-1 Understanding Points, Lines, and Planes
1) Points that lie on the same line are
collinear.
K, L, and M are collinear.
2) Points that do not lie on the same line are
non-collinear
K, L, and N are non-collinear.
K
L M
N
Holt Geometry
1-1 Understanding Points, Lines, and Planes
3) Points that lie on the same plane
are coplanar.
4)Points that don’t lie on the same
plane are non-coplanar.
Holt Geometry
1-1 Understanding Points, Lines, and Planes
5) Theorem- Proven to be true
6) Postulate/Axiom is a statement that is
accepted as true without proof.
Holt Geometry
1-1 Understanding Points, Lines, and Planes
Holt Geometry
1-1 Understanding Points, Lines, and Planes
*Should remind
you of solving a
system of
equations*
Holt Geometry
1-1 Understanding Points, Lines, and Planes
Think and discuss:
Line(s)
1
Regions
2
2
1
Holt Geometry
3
4
2
5
1-1 Understanding Points, Lines, and Planes
Think and discuss:
Line(s)
1
2
Regions
2
4
3
2
1
3
4
Holt Geometry
4
5
1-1 Understanding Points, Lines, and Planes
Think and discuss:
Line(s)
1
2
3
Regions
2
4
7
Holt Geometry
4
5
1-1 Understanding Points, Lines, and Planes
Think and discuss:
Line(s)
1
2
3
4
Regions
2
4
7
11
Holt Geometry
5
1-1 Understanding Points, Lines, and Planes
Think and discuss:
Line(s)
1
2
3
4
5
Regions
2
4
7
11
16
Holt Geometry
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