AnswersNY-Geometry A-CRProving Lines Parallel

Proving Lines Parallel Answers

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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°
2
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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.

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A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
3

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
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.

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A
10
B
20
C
22
D
32
5

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

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A
w
B
x
C
y
D
z
6

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

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A
1
B
89
C
91
D
179
7

Parallel lines e and f are cut by transversal b.

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A
1
B
5
C
25
D
37
8

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

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A
Lines a and b are parallel because their alternate exterior angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are supplementary.
C
Lines e and f are parallel because their alternate exterior angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are congruent.
9

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

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A
8
B
82
C
98
D
172
10

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

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A
a
B
b
C
c
D
d

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