# Parallel And Perpendicular Lines Worksheet Page 39

Concept Check
1. Explain how to construct a segment between two parallel lines to represent the
distance between them.
OPEN ENDED
Make up a problem involving an everyday situation in which
2.
you need to find the distance between a point and a line or the distance between
two lines. For example, find the shortest path from the patio of a house to a
garden to minimize the length of a walkway and material used in its
construction.
3. Compare and contrast three different methods that you can use to show that
two lines in a plane are parallel.
Guided Practice
Copy each figure. Draw the segment that represents the distance indicated.
4. L to KN
5. D to AE
L
M
C
B
D
K
N
A
E
6.
COORDINATE GEOMETRY
Line contains points (0, 0) and (2, 4). Draw line .
Construct a line perpendicular to
through A(2,
6). Then find the distance
from A to .
Find the distance between each pair of parallel lines.
3
7. y
x
1
8. x
3y
6
4
x
3y
14
3
1
y
x
4
8
3
1
9. Graph the line whose equation is y
x
. Construct a perpendicular
4
4
segment through P(2, 5). Then find the distance from P to the line.
Application
10.
UTILITIES
Housing developers
often locate the shortest distance
from a house to the water main so
that a minimum of pipe is required
Water
to connect the house to the water
main
supply. Copy the diagram, and
draw a possible location for the pipe.
connection
Practice and Apply
Practice and Apply
Copy each figure. Draw the segment that represents the distance indicated.
12. K to JL
13. Q to RS
For
See
Exercises
Examples
J
A
B
R
S
11–16
1
17, 18
2
19–24
3
25–27
1–2
Extra Practice
Extra Practice
D
C
L
K
See page 760.
See page 760.
Q
P
162 Chapter 3 Parallel and Perpendicular Lines