Practice and Apply
Practice and Apply
Given the following information, determine which lines, if any, are parallel.
State the postulate or theorem that justifies your answer.
For
See
a
13.
2
8
b
Exercises
Examples
1 2
5 6
14.
9
16
13–24
1
4 3
8 7
26–31
2
15.
2
10
9 10
25, 32–37
3
13 14
m
16.
6
15
12 11
38–39
4
16 15
Extra Practice
Extra Practice
See page 760.
See page 760.
17.
AEF
BFG
E
EAB
DBC
18.
F
EFB
CBF
19.
2
1
20. m GFD
m CBD
180
D
G
A
B
C
21.
HLK
JML
H
J
22.
PLQ
MQL
K
L
M
N
23. m MLP
RPL
180
24. HS
PR, JT
PR
P
Q
R
S
T
25.
PROOF
Copy and complete the proof of Theorem 3.8.
t
Latitude lines are
t
1
Given:
parallel, and longitude
m
t
lines appear parallel in
m
2
certain locations on
m
Prove:
Earth. Visit
Proof:
Statements
Reasons
com/webquest
t
m
t
1.
,
1.
?
to continue work on
your WebQuest project.
2.
1 and
2 are right angles.
2.
?
3.
1
2
3.
?
m
4.
4.
?
m
Find x so that
.
26.
27.
28.
m
( 8 x
4 )
m
˚
( 9 x
4 )
˚
( 9 x
11 )
˚
( 7 x
1 )
˚
˚
140
m
29.
30.
31.
m
( 14 x
9 )
˚
( 178
3 x )
˚
( 7 x
100 )
˚
( 4
5 x )
˚
m
( 5 x
90 )
˚
( 7 x
38 )
˚
m
32.
PROOF
Write a two-column proof of Theorem 3.6.
33.
PROOF
Write a paragraph proof of Theorem 3.7.
Lesson 3-5 Proving Lines Parallel 155