Parallel & Perpendicular Lines
Name
Date
I can …
Essential Question(s):
Key Concepts
Notes
Parallel Lines
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Definition
What do they look like?
How do I show this in my
picture?
Symbol
Skew Lines
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Definition
Parallel Planes
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Transversals and Parallel Lines
Definition
Example 1 – Use Figure 1 to
Identify Relationships
a) Name all planes that are parallel
to plane ABG
b) Name all planes that intersect
plane HCB
c) Name all segments that intersect
̅̅̅̅
𝐶𝐻
d) Name all segments that are
parallel to ̅̅̅̅
𝐸𝐹
e) Name all segments that are skew
to ̅̅̅̅
𝐵𝐺
Figure 1
Example 2 – Use Figure 2 to
Identify Relationships
a) Name all planes that are parallel
to plane AEF
b) Name all planes that intersect
plane EDC
c) Name all segments that
intersect ̅̅̅̅
𝐷𝐶
d) Name all segments that are
̅̅̅̅
parallel to 𝐴𝐹
e) Name all segments that are
skew to ̅̅̅̅
𝐴𝐷
Transversal
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Definition
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What does one look like? Be
sure to label all lines.
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How many angles did we just
create by drawing a
transversal?
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Just like how we learned
about vertical angles,
adjacent angles, and linear
pairs in the previous section,
a transversal creates 4 more
angle relationships. They are
…
Figure 2
Key Angle Relationships
Start by drawing two lines and a
transversal. Label the lines a and b,
respectively, and name the
transversal c.
Consecutive Interior angles
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Definition
Nickname
Examples
Alternate Exterior angles
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Definition
Nickname
Examples
Alternate Interior angles
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Definition
Nickname
Examples
Corresponding angles
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Definition
Nickname
Examples
Helpful Hints:
 Determine the transversal of
the two angles
 Determine if angle(s) is
interior or exterior. How to
do that?
 What if the two angles only
have two lines in common?
Example 3 - Identifying Angle
Relationships
Figure 3
Use Figure 3
1.
 3 and  6
2.
 1 and  7
3.
 3 and  5
4.
 4 and  8
5.
 2 and  8
6.
 2 and  6
Use Figure 4
1.
 1 and  7
2.
 2 and  10
3.
 8 and  9
4.
 4 and  10
5.
 3 and  5
6.
 1 and  9
Use Figure 5
1.
 3 and  10
2.
 2 and  12
3.
 8 and  14
4.
 2 and  6
5.
 4 and  9
6.
 5 and  15
Figure 4
Figure 5
Answer to the Essential Question