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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.

11. C to AD

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

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Parent category: Education