Parallel And Perpendicular Lines Worksheet Page 19
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50Concept Check
1. Describe what type of line is perpendicular to a vertical line. What type of line
is parallel to a vertical line?
2.
FIND THE ERROR
Curtis and Lori calculated the slope of the line containing
A(15, 4) and B( 6,
13). Who is correct? Explain your reasoning.
Curtis
Lori
4
-
(
-
1
3)
4
-
13
m =
m =
1
5
-
(
-
6
)
1
5
-
6
1
7
9
=
= -
2
1
1
1
OPEN ENDED
3.
Give an example of a line whose slope is 0 and an example of a
line whose slope is undefined.
Guided Practice
4. Determine the slope of the line that contains A( 4, 3) and B( 2,
1).
Find the slope of each line.
y
P
m
5.
6.
Q
7. any line perpendicular to
O
x
Determine whether GH and RS are parallel,
D
perpendicular, or neither.
C
8. G(14, 13), H( 11, 0), R( 3, 7), S( 4,
5)
m
9. G(15,
9), H(9,
9), R( 4,
1), S(3,
1)
Exercises 5–7
Graph the line that satisfies each condition.
10. slope
2, contains P(1, 2)
11. contains A(6, 4), perpendicular to MN with M(5, 0) and N(1, 2)
Application
MOUNTAIN BIKING
For Exercises 12–14, use the following information.
A certain mountain bike trail has a section of trail with a grade of 8%.
12. What is the slope of the hill?
13. After riding on the trail, a biker is 120 meters below her original starting
position. If her starting position is represented by the origin on a coordinate
plane, what are the possible coordinates of her current position?
14. How far has she traveled down the hill? Round to the nearest meter.
Practice and Apply
Practice and Apply
Determine the slope of the line that contains the given points.
15. A(0, 2), B(7, 3)
16. C( 2,
3), D( 6,
5)
For
See
17. W(3, 2), X(4,
3)
18. Y(1, 7), Z(4, 3)
Exercises
Examples
15–18, 25–32
1
19–24
3
Determine whether PQ and UV are parallel, perpendicular, or neither.
33–38
4
19. P( 3,
2), Q(9, 1), U(3, 6), V(5,
2)
20. P( 4, 0), Q(0, 3), U( 4,
3), V(8, 6)
42, 43
2
Extra Practice
21. P( 10, 7), Q(2, 1), U(4, 0), V(6, 1)
22. P( 9, 2), Q(0, 1), U( 1, 8), V( 2,
1)
Extra Practice
See page 759.
See page 759.
23. P(1, 1), Q(9, 8), U( 6, 1), V(2, 8)
24. P(5,
4), Q(10, 0), U(9,
8), V(5,
13)
142 Chapter 3 Parallel and Perpendicular Lines
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