Practice 3-2

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Name
Class
Date
Practice 3-2
Proving Lines Parallel
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1. Developing Proof Complete the paragraph proof for the figure shown.
Given: RQT and QTS are supplementary.
TSV and SVU are supplementary.
* ) * )
Prove: QR 6 UV
Proof Because RQT and QTS are supplementary, RQT and
QTS are a. 9 angles. By the Same-Side Interior Angles Theorem,
b. 9 6 c. 9. Because TSV and SVU are supplementary,
* ) * TSV
)
and SVU are d. 9 angles. By the e. 9 Theorem, TS 6 UV .
* ) * )
* ) * )
Because QR and UV both are parallel to f. 9, QR 6 UV by
Theorem g. 9.
R
T
S
U
V
Which lines or segments are parallel? Justify your answer with a theorem or
postulate.
2.
m
n
3.
v
110
5. A
R
30
70
H
30
T
A
A
B
G
C
D
a
7.
96°
E
D
U
100
55
d
6.
C
125
o
o
70
B
4.
i
65
115
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
Q
F
H
84°
101°
b
79°
c
I
d
Algebra Find the value of x for which a n t.
8.
a
a
9.
t
t
10.
(3x)
(x 20)
93
(x 44)
a
t
(x 20)
(2x 10)
11.
(x 30)
a
12.
13.
(2x 75)
80
a
t
130
70
t
Geometry Chapter 3
(x 20)
t
a
(x 35)
(2x 20)
Lesson 3-2 Practice
3
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