Tools of Geometry
Name
I can …
Key Concepts
Point
Definition
What does it look like?
How is it named?
How do you write it?
Line
Definition
What does it look like?
How is it named?
How do you write it?
Plane
Definition
What does it look like?
How is it named?
How do you write it?
Vocabulary
Collinear
Coplanar
Naming Lines and Planes
Points, Lines, and Planes
Date
Essential Question(s):
Notes
Examples
1. Use figure 1 to answer the
following questions
Figure 1
a) Name four ways to name a
line containing point A.
b) Name four ways to name a
plane containing point C.
2. Use figure 2 to answer the
following questions
Figure 2
a) Name four ways to name a
line containing point K.
b) Name four ways to name a
plane containing point L.
Drawing Situations Examples
a) Line D contains points E and
F.
b) ⃡𝑊𝑋 and ⃡𝑌𝑍 intersect at point
T.
⃡ is not collinear with
c) 𝑀𝑁
point K.
d) Points A, B, C, and D are
collinear.
e) Lines f and g intersect at
point M in plane K.
f) ⃡𝐻𝐽 lies in plane R and
contains point C, but doesn’t
contain point Q.
Interpreting Drawings
Examples
1.Use figure 3 to the right to
Figure 3
answer the following questions.
a) How many planes
appear in the figure
above?
b) What is another way to
name Plane ABC?
c) Name three points that
are collinear.
d) Name a line that is no on
Plane P.
e) Are points G, A, B, and
E coplanar. Explain.
f)
⃡ and
At what point do 𝐸𝐹
⃡ intersect?
𝐴𝐵
g) Give two different
examples of: two planes
and where they intersect.
2. Use figure 4 to the right to
answer the following questions
a) How many planes
appear in this figure?
Name ALL.
b) Name three points that
are collinear.
c) Are points A, B, and C
coplanar?
d) At what point do ⃡𝐷𝐵
⃡ intersect?
and 𝐶𝐴
e) Name two planes and
their intersection.
f) Name a line on Plane S.
g) Name two lines and
where they intersect.
Figure 4
Postulate or Axiom –
Segment
Definition
What does it look like?
How is it named?
How do you write it?
Ray
Definition
What does it look like?
How is it named?
How do you write it?
Opposite Rays
Definition
What does it look like?
How do you write it?
Figure 5
Naming Segments and Rays
1. Use figure 5 to answer the
following questions
a) What are the names of all the
segments?
b) What are the names of all the
rays?
c) Name a pair of opposite rays.
Finding the Intersection of
Planes
Figure 6
1. Use figure 6 to answer the
following questions
a) Name two planes and where
they intersect.
b) What are the names of two
planes that intersect in line BF?
Naming Lines and Planes
Examples
Figure 7
1. Use figure 7 to answer the
following questions
a) What are two other ways to
name ⃡𝑄𝑇?
b) What are two other ways to
name Plane P?
c) What are the names of three
collinear points? What are the
names of four coplanar points?
d) Name a set of opposite rays.
Answer to the Essential Question