Parallel And Perpendicular Lines Worksheet Page 7
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50g
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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