Proving Lines Parallel Answers

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1
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Letters a, b, c, and d are angle measures.

Question illustration
A
a
B
b
C
c
D
d
2
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Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Select three options.

A
a = c
B
a = d
C
c = d
D
b + c = 180°
E
b + d = 180°
3

Lines c and d are parallel lines cut by transversal p.

Question illustration
A
∠1 ≅ ∠7
B
∠2 ≅ ∠6
C
∠3 ≅ ∠5
D
∠5 ≅ ∠7
4

Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees.

Question illustration
A
10
B
20
C
22
D
32
5

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

Question illustration
A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
6

Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.

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A
Lines a and b are parallel because their corresponding angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are congruent.
C
Lines e and f are parallel because their corresponding angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are supplementary.
7

Letters w, x, y, and z are angle measures.

Question illustration
A
w
B
x
C
y
D
z
8

Lines a and b are parallel and lines e and f are parallel.

Question illustration
A
8
B
82
C
98
D
172
9

Lines a and b are parallel and lines e and f are parallel.

Question illustration
A
1
B
89
C
91
D
179
10

In the diagram, g ∥ h, m∠1 = (4x + 36)°, andm∠2 = (3x – 3)°.

Question illustration
A
21°
B
60°
C
120°
D
159°
11

Given: and Prove:

Question illustration
A
m∠1 = m∠4
B
m∠2 = m∠3
C
m∠1 + m∠4 = 180°
D
m∠2 + m∠3 = 180°
12

Lines b and a are intersected by line f. At the intersection of lines f and b, the bottom left angle is angle 4 and the bottom right angle is angle 3. At the intersection of lines f and a, the uppercase right angle is angle 1 and the bottom left angle is angle 2.

Question illustration
A
m∠4 = 110° and m∠3 = 70°
B
m∠1 = 110° and m∠2 = 110°
C
m∠1 = 110° and m∠3 = 70°
D
m∠2 = 110° and m∠3 = 110°
13

Parallel lines e and f are cut by transversal b.

Question illustration
A
16
B
50
C
130
D
164
14

Parallel lines e and f are cut by transversal b.

Question illustration
A
1
B
5
C
25
D
37
15

Question text not available

Question illustration
T
They are parallel because their slopes are equal.
T
They are parallel because their slopes are negative reciprocals.
T
They are not parallel because their slopes are not equal.
T
They are not parallel because their slopes are negative reciprocals.
18

Consider the diagram.

Question illustration
T
They lie in different planes and will never intersect.
T
They lie in the same plane but will never intersect.
T
They lie in different planes but will intersect if a plane is drawn to contain both lines.
T
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
19

Question text not available

Question illustration
(
(–6, 10)
(
(–4, –8)
(
(0, –1)
(
(2, 4)

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