Parallel and Perpendicular Lines - PowerPoint PPT Presentation

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Parallel and Perpendicular Lines

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PARALLEL AND PERPENDICULAR LINES Slopes Parallel Lines: The slopes are EQUAL for parallel lines. Perpendicular Lines: The slopes are opposite reciprocals ... – PowerPoint PPT presentation

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Title: Parallel and Perpendicular Lines


1
Parallel and Perpendicular Lines
2
Slopes
  • Parallel Lines
  • The slopes are EQUAL for parallel lines.
  • Perpendicular Lines
  • The slopes are opposite reciprocals for
    perpendicular lines.

3
ExampleIf
  • PARALLEL
  • PERPENDICULAR

4
You Try.......
  • If
  • find the parallel and perpendicular slopes.
  • Parallel
  • Perpendicular

5
You Try
  • If
  • find the parallel and perpendicular slopes.

6
AnswerRemember
  • Parallel
  • Perpendicular

7
Example
  • A. What is the slope of
  • ?
  • B. What is the parallel slope?
  • C. What is the perpendicular slope?
  • A.
  • B.
  • C.

8
Example
  • Graph the line parallel to
    through (8,2).

9
Answer..Parallel to

10
Graph .
11
Example.
  • Graph the line perpendicular to
  • through (3,2)

12
AnswerPerpendicular to
13
Graph
14
Are the following lines parallel, perpendicular,
or neither?..........
  • Answer
  • They have the same slope so they are parallel.

15
Parallel, Perpendicular, or Neither?
  • The slopes are not the same so they are NOT
    parallel.
  • The slopes are not opposite reciprocals so they
    are NOT perpendicular.
  • They are neither.

16
Parallel, Perpendicular, or Neither?......
  • You must first change both into slope-intercept
    form.
  • Now, you can compare their slopes.

17
(No Transcript)
18
  • They are not the same so they are NOT parallel.
  • They are not opposite reciprocals so they are NOT
    perpendicular.
  • They are neither.

19
Parallel, Perpendicular, or Neither?.....
  • Change to slope-intercept form first.
  • Compare their slopes.

20
(No Transcript)
21
  • The slopes are opposite reciprocals so they are
    perpendicular.

22
Assignment
  • Worksheet
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