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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
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