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Slopes of Parallel and Perpendicular Lines

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C-22 Perpendicular Slope Conjecture: You will be shown the slopes of two lines. On the corner of your notes write down whether each pair of lines are parallel, ... – PowerPoint PPT presentation

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Title: Slopes of Parallel and Perpendicular Lines


1
Slopes of Parallel and Perpendicular Lines
  • Objectives 1. Discover the relationships
    between the slopes of parallel lines and
    perpendicular lines.

2
What type of lines do lines p and q look like?
Y
parallel lines
X
p
q
3
Calculate the slope of each.
Y
X
p
q
4
slope of p slope of q
Y
X
p
q
5
What do you notice about the slopes of these two
lines?
  • The slopes are congruent.

C-12 Parallel Slope Conj. In a coordinate
plane, two lines are _____________if and only if
their slopes are ____________.
parallel
congruent
6
Are these lines parallel?
Y
a
b
X
NO Slopes are not ?
slope a -
slope b -
7
Are these lines parallel?
Y
c
d
X
YES Slopes are ?
slope c
slope d
8
C-22 Perpendicular Slope Conjecture
  • Two nonvertical lines are _____________ if and
    only if their slopes are

perpendicular
opposite (or negative) reciprocals of each other.
9
You will be shown the slopes of two lines. On
the corner of your notes write down whether each
pair of lines are parallel, perpendicular, or
neither.
10
slope of line r slope of line s
These lines are parallel.
11
2. slope of line t slope of line u
These lines are perpendicular.
12
3. slope of line t slope of line u
These lines are parallel.
13
4. slope of line t slope of line u
NEITHER!! Slopes are not congruent or opposite
reciprocals of each other.
14
5. slope of line t slope of line u 7
Perpendicular.
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