AnswersMO-Geometry ALines Cut by a Transversal

Proving Lines Parallel Answers

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1
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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
2
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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.
3

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.

Question illustration
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.
4

Parallel lines e and f are cut by transversal b.

Question illustration
A
1
B
5
C
25
D
37
5

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°
6

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
7

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°
8

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
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

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

Question illustration
A
8
B
82
C
98
D
172

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