1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
FOLDABLE
Chapter 1
Understanding Points, Lines, and Planes
The Basics
Segments
Formulas
Angles
The Basics
Naming Figures
Single, standard, CAPITAL letter
A
1 Point
2 Points
A
B
B
A
m
C
Single, script, lowercase letter
or any 2 points on the line
C
Endpoint first followed by any
other point on the ray
B
Endpoints
D
Single, script, Capital letter
or any 3 non-collinear points
in the plane
Point A
AB, AC
A
3 Points
A
C
B
P
Plane P,
Plane ABC,
Plane CDB,
Plane ACD,...
A
Vertex in the middle
B
C
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
What we will learn today:
~Identify, name, and draw points,
lines, segments, rays, and
planes.
~Apply basic facts about
points, lines, and planes.
The most basic figures in geometry are undefined terms, which
cannot be defined by using other figures.
The undefined terms point, line, and plane are the building blocks
of geometry.
Points
~ most basic unit of geometry
- every figure we study is made up of points
~ are named using a single, standard, uppercase letter.
point A
A
Lines
~ a line has arrows on either end to show it goes into infinity in both
directions
~ lines are named using a single, italicized, lowercase letter, or any
2 points on the line (2 standard, uppercase letters).
C
A
B
d
line d, AB, BC, AC
Segments
~ have two endpoints
~ segments are named by their endpoints (2 standard, uppercase
letters)
B
A
C
AB, BC, AC
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
Rays
~ have one endpoint and go into infinity in one direction
~ rays are named with the endpoint first, then any other point on the
ray.
Draw
one ray that can have either of the names below.
CB, CA
Opposite Rays
~ have a shared endpoint and go into infinity in opposite directions
~ named with the common endpoint first, then any other point of
each ray
Draw
a pair of opposite rays that can have the names below.
AB and AC
Planes
~ flat surface made up of at least three points
~ extends into infinity in all directions
~ planes are named using a single, italicized, uppercase letter, or
any 3 points in the plane.
O
plane M, plane NOP, plane OPN, plane PON…
N
P
M
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
Example 1: Naming Points, Lines, & Planes
A. Name four coplanar points.
B. Name two lines.
C. Name the intersection of BE & EC.
Example 2: Drawing Points, Lines, & Planes
a. Draw a segment with endpoints D and P.
b. Draw RY.
c. Draw plane PLE.
d. Draw LN that also contains point P.
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
These go in the foldable
(The Basics)
P.1-1-4 ~ Two lines intersect at a ____________
P.1-1-5 ~ Two planes intersect at a __________
What about ~ A plane and a line intersect at a...
Example 3: Drawing Points, Lines, & Planes
a. Draw SW and DH intersecting at point Q.
b. Draw JU in plane R.
c. Draw plane P intersecting plane L at AB.
d. Draw LN intersecting plane PAE at point P.
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
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1.1 Understanding Points, Lines, and Planes.notebook
August 17, 2016
collinear
coplanar
postulate ~ also called an axion, a statement that is accepted as true
without proof
P.1-1-1 ~ Through any two points lies exactly one line.
P.1-1-2 ~ Through any three non-collinear points lies exactly one
plane.
P.1-1-3 ~ If two points lie in a plane, then the line through those two
points also lies in the plane.
Time to Play!
Skittles & spaghetti
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