Parallel And Perpendicular Lines Worksheet Page 40
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50Copy each figure. Draw the segment that represents the distance indicated.
14. Y to WX
15. G to HJ
16. W to UV
R
M
G
W
X
S
Q
T
L
H
X
Z
Y
U
W
K
J
V
COORDINATE GEOMETRY
Construct a line perpendicular to through P.
Then find the distance from P to .
17. Line contains points ( 3, 0) and (3, 0). Point P has coordinates (4, 3).
18. Line contains points (0,
2) and (1, 3). Point P has coordinates ( 4, 4).
Find the distance between each pair of parallel lines.
19. y
3
20. x
4
21. y
2x
2
Interior Designer
y
1
x
2
y
2x
3
Interior designers compute
3
22. y
4x
23. y
2x
3
24. y
x
1
areas and volumes, work
4
y
4x
17
2x
y
4
3x
4y
20
with scale models, and
create budgets, in addition
to being artistic. Usually
Graph each line. Construct a perpendicular segment through the given point.
two years of college and
Then find the distance from the point to the line.
two years of practical
25. y
5, ( 2, 4)
26. y
2x
2, ( 1,
5)
27. 2x
3y
9, (2, 0)
experience are necessary
before a designer can take
a licensing exam.
28.
Write a paragraph proof of Theorem 3.9.
PROOF
Online Research
INTERIOR DESIGN
29.
Theresa is installing a curtain rod on the wall above the
For information about
window. In order to ensure that the rod is parallel to the ceiling, she measures
a career as an interior
and marks 9 inches below the ceiling in several places. If she installs the rod at
designer, visit:
these markings centered over the window, how does she know the curtain rod
will be parallel to the ceiling?
com/careers
CONSTRUCTION
30.
When framing a wall during a construction
project, carpenters often use a plumb line. A plumb line is a string
with a weight called a plumb bob attached on one end. The plumb
line is suspended from a point and then used to ensure that wall
studs are vertical. How does the plumb line help to find the
distance from a point to the floor?
ALGEBRA
31.
In the coordinate plane, if a line has equation
ax
by
c, then the distance from a point (x
, y
) is given by
1
1
ax
c
by
1
1
. Determine the distance from (4, 6) to the line
2
2
a
b
whose equation is 3x
4y
6.
CRITICAL THINKING
Draw a diagram that represents each description.
32.
a. Point P is equidistant from two parallel lines.
b. Point P is equidistant from two intersecting lines.
c. Point P is equidistant from two parallel planes.
d. Point P is equidistant from two intersecting planes.
e. A line is equidistant from two parallel planes.
f. A plane is equidistant from two other planes that are parallel.
com/self_check_quiz
Lesson 3-6 Perpendiculars and Distance 163
(l)Lonnie Duka/Index Stock Imagery/PictureQuest, (r)Steve Chenn/CORBIS
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