# Parallel And Perpendicular Lines Worksheet Page 8

Standardized
56.
3 and
5 are
?
angles.
Test Practice
1 2
A
alternate interior
4 3
B
alternate exterior
5
6
C
consecutive interior
8
7
D
corresponding
57.
GRID IN
Set M consists of all multiples of 3 between 13 and 31. Set P consists
of all multiples of 4 between 13 and 31. What is one possible number in P but
NOT in M?
Mixed Review
58.
Write a two-column proof.
PROOF
(Lesson 2-8)
A
D
Given: m ABC
m DFE, m 1
m 4
Prove: m 2
m 3
1
4
2
3
B
C
E
F
59.
PROOF
Write a paragraph proof.
(Lesson 2-7)
P
Q
R
Given: PQ
ZY, QR
XY
Prove: PR
XZ
X
Y
Z
Determine whether a valid conclusion can be reached from the two true
statements using the Law of Detachment or the Law of Syllogism. If a valid
conclusion is possible, state it and the law that is used. If a valid conclusion
does not follow, write no conclusion.
(Lesson 2-4)
60. (1) If two angles are vertical, then they do not form a linear pair.
(2) If two angles form a linear pair, then they are not congruent.
61. (1) If an angle is acute, then its measure is less than 90.
EFG is acute.
(2)
Find the distance between each pair of points.
(Lesson 1-3)
62. A( 1,
8), B(3, 4)
63. C(0, 1), D( 2, 9)
64. E( 3,
12), F(5, 4)
1
7
8
2
65. G(4,
10), H(9,
25)
66. J 1,
, K
3,
67. L
5,
, M 5,
4
4
5
5
Draw and label a figure for each relationship.
(Lesson 1-1)
68. AB perpendicular to MN at point P
69. line contains R and S but not T
PREREQUISITE SKILL
State the measures of linear pairs of angles in each figure.
the Next Lesson
(To review linear pairs, see Lesson 2-6.)
70.
71.
72.
˚
˚
x
x
50
2
˚
73.
74.
75.
˚
2
x
˚
˚
˚
˚
˚
˚
( 3
1 )
( 2
6 )
y
y
x
x
x
x
2
3
3
Lesson 3-1 Parallel Lines and Transversals 131