# Skew, Parallel and Perpendicular Lines - PowerPoint PPT Presentation

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## Skew, Parallel and Perpendicular Lines

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### Chapter 4.1 Skew, Parallel and Perpendicular Lines Objectives: We ll learn Define the characteristics of skew, parallel and perpendicular lines. – PowerPoint PPT presentation

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Title: Skew, Parallel and Perpendicular Lines

1
Chapter 4.1
• Skew, Parallel and Perpendicular Lines

2
Objectives Well learn
• Define the characteristics of skew, parallel and
perpendicular lines.

3
Skew Lines
• Skew lines lie in different planes. They are
• Not parallel
• Not intersecting
• Not perpendicular.

4
Skew lines
• Skew lines are noncoplanar lines.
• (Noncoplanar lines cannot intersect.)

5
SKEW LINES
• Lines that lie in different planes. They are
neither parallel nor intersecting.

6
SKEW LINES
• Lines that lie in different planes. They are
neither parallel nor intersecting.

CD and FA are SKEW LINES FA and BD are SKEW
LINES
G
B
A
F
H
D
E
C
7
Use the figure to find the following
A
B
E
F
D
C
H
G
Two pairs of Parallel Lines
Two pairs of Parallel Planes
Two pairs of Skew Lines
8
PARALLEL LINES
28
• Def lines that do not intersect must be
coplanar.
• Illustration
• Notation l m AB CD

p. 129
9
Two lines are parallel if they do not intersect.
EX1 Are the lines parallel?
10
Examples of Parallel Lines
• Hardwood Floor
• Opposite sides of windows, desks, etc.
• Parking slots in parking lot
• Parallel Parking
• Streets Laramie LeClaire

11
Examples of Parallel Lines
• Streets Belmont School

12
PERPENDICULAR LINES
29
• Def Lines that intersect to form a right angle.
• Illustration
• Notation m ? n
• Key Fact 4 right angles are formed.

p. 79
13
PERPENDICULAR
• Lines that intersect to form right angles.

90
90
90
90
14
When two lines intersect at right angles,
TRICK 4 right angles are formed, but it shows 1
only. (The other 3 are invisible.)
-
• They are called perpendicular lines.

15
Ex. of Perpendicular Lines
• Window panes
• Streets Belmont and Cicero

16
Language of Geometry
17
Parallel lines Transversal
18
Angles, Parallel Lines Transversal
19
Homework
p. 144, 1-9, 15-17