Proving Lines Parallel Answers

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1
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Letters w, x, y, and z are angle measures.

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A
w
B
x
C
y
D
z
2
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In the diagram, g ∥ h, m∠1 = (4x + 36)°, andm∠2 = (3x – 3)°.

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A
21°
B
60°
C
120°
D
159°
3

Given: and Prove:

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

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.
5

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.

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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°
6

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°
7

Parallel lines e and f are cut by transversal b.

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A
16
B
50
C
130
D
164
8

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

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A
∠1 ≅ ∠7
B
∠2 ≅ ∠6
C
∠3 ≅ ∠5
D
∠5 ≅ ∠7
9

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and right angle is 89 degrees.
Option A
B
Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.
Option B
C
Lines s and r are intersected by line m. At the intersection of lines r and m, the right angle is 91 degrees. At the intersection of lines s and m, the left angle is 89 degrees.
Option C
D
Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and the top angle is 91 degrees.
Option D
10

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.

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A
10
B
20
C
22
D
32

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