Name:
Ms. D’Amato
Date:
Block:
Identify Points, Lines, and Planes
Undefined terms:
Name
Definition
Notation
Diagram
Notation
Diagram
has no dimension (no
actual size); no length,
width, or thickness
has one dimension;
through any 2 points
there is exactly one
line; extends
indefinitely; no
thickness or width
two dimensions;
through any 3 points
not on the same line,
there is exactly 1
plane; extends
indefinitely in all
direction
Defined Terms:
Name
Definition
part of a line that
consists of 2 points,
called endpoints, and
all points on the line
that are between the
endpoints
part of line that
consists of a point
called an endpoint
and all points on the
line that extend in one
direction
Students: “Ugh, I thought this was Math Class what is with all these definitions…”
Let’s put these definitions to use and you will be able to see that these really are not that difficult.
B
C
Name this line SEVEN different ways.
A
m

Using the same diagram above name FOUR rays.
are 2 rays that share an common endpoint and form a straight line.

Using the same diagram above name ONE pair of opposite rays.

Using the same diagram above name FOUR different line segments.
Students: “Ms. D’Amato this is so EASY!!!!!”
Here are two more easy defintions.
are points that lie on the same line.
are points that lie on the same plane.

Name the plane shaded in two different ways.

Identify at least FOUR pairs of collinear points.

Identify at least TWO sets of coplanar points.
Intersection:

The intersection of two lines is _____________________.

The intersection of a line and a plane is ____________________.

The intersection of two planes is ________________________.
Using the diagram above, where do lines g and h intersect?
Using the same diagram, where does line g intersect with plane F?
Use the diagram to decide whether the given statement is true or false.
Points H, I, and G are collinear.
Points H, I, and J are coplanar
⃗⃗⃗⃗⃗
𝐸𝐺 and ⃗⃗⃗⃗⃗
𝐹𝐺 are opposite rays.
All points on ⃗⃗⃗⃗
𝐺𝐼 and ⃗⃗⃗⃗⃗
𝐺𝐹 are coplanar.
⃡⃗⃗⃗ .
The intersection of ⃡⃗⃗⃗⃗
𝐸𝐹 and plane JKH is 𝐻𝐼
⃡⃗⃗ is point G.
⃡⃗⃗⃗ , and 𝐽𝐺
The intersection of ⃡⃗⃗⃗⃗
𝐸𝐹 , 𝐻𝐼
The intersection of plane EGH and plane JGI is point G.
⃡⃗⃗⃗⃗ .
The intersection of plane EFI and plane JKG is 𝐻𝐺
Sketch the figure described.
Two rays that do not intersect
Three lines that intersect in three points
Two planes that intersect in one line
A line that intersects a plane in one
point
Use the diagram for the following exercises:
a.)
Name 12 different rays.
1.
7.
2.
8.
3.
9.
4.
10.
5.
11.
6.
12.
b.)
Name 1 pair of opposite rays.
c.)
Name 3 lines that intersect at point C.