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g

Identify each pair of angles as alternate

k

interior, alternate exterior, corresponding,

j

6

5

or consecutive interior angles.

7

8

1 2

2 and

10

1 and

11

32.

33.

3

4

34.

5 and

3

35.

6 and

14

9

10

36.

5 and

15

37.

11 and

13

12

13

11

h

14

38.

8 and

3

39.

9 and

4

16

15

q

p

Name the transversal that forms each pair of angles.

Study Tip

Then identify the special name for the angle pair.

Make a Sketch

3 4

1 2

40.

2 and

9

41.

7 and

15

6

5

7

Use patty paper or tracing

8

42.

13 and

17

43.

8 and

4

paper to copy the figure.

44.

14 and

16

45.

6 and

14

Use highlighters or

9

12 10

colored pencils to

46.

8 and

6

47.

14 and

15

11

m

identify the lines that

15 16

compose each pair of

13 14

17

18

angles.

AVIATION

48.

Airplanes heading eastbound are assigned an altitude level that is

an odd number of thousands of feet. Airplanes heading westbound are assigned

an altitude level that is an even number of thousands of feet. If one airplane is

flying northwest at 34,000 feet and another airplane is flying east at 25,000 feet,

describe the type of lines formed by the paths of the airplanes. Explain your

reasoning.

STRUCTURES

For Exercises 49–51, refer to the drawing

A

of the gazebo at the right.

49. Name all labeled segments parallel to BF.

50. Name all labeled segments skew to AC.

B

E

C

D

51. Are any of the planes on the gazebo parallel to

plane ADE? Explain.

52.

COMPUTERS

The word parallel when used

with computers describes processes that occur

F

I

G

H

simultaneously, or devices, such as printers, that

receive more than one bit of data at a time. Find two

other examples for uses of the word parallel in other

subject areas such as history, music, or sports.

CRITICAL THINKING

Suppose there is a line and a point P not on the line.

53. In space, how many lines can be drawn through P that do not intersect ?

54. In space, how many lines can be drawn through P that are parallel to ?

WRITING IN MATH

Answer the question that was posed at the beginning of

55.

the lesson.

How are parallel lines and planes used in architecture?

Include the following in your answer:

• a description of where you might expect to find examples of parallel lines and

parallel planes, and

• an example of skew lines and nonparallel planes.

130 Chapter 3 Parallel and Perpendicular Lines

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