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Proving Lines Parallel — Quiz Answers

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1
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Which set of equations is enough information to prove that lines A and b are parallel lines cut by transversal f ?

A
m angle 1 is equal to 110 degrees and m angle 3 is equal to 70 degrees
B
m angle 1 is equal to 110 degrees and m angle 2 is equal to 110 degrees
C
m angle 2 is equal to 110 degrees and m angle 3 is equal to 110 degrees
D
m angle 4 is equal to 110 degrees and m angle 3 is equal to 70 degrees
2
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Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

A
converse alternate exterior angles theorem
B
alternate interior angles theorem
C
converse alternate interior angles theorem
D
alternate exterior angles theorem
5

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

A
Image with description Parallel lines s and r are cut by transversal m. Line s intersecting transversal m creates 4 angles, the top left angle is labeled as 89 degrees, and the top right angle is labeled as 91 degrees.
B
Image with description Parallel lines s and r are cut by transversal m. Line s intersecting transversal m creates 4 angles, the top right angle is labeled as 91 degrees. Line r intersecting transversal m creates 4 angles, the top right angle is labeled as 91 degrees.
C
Image with description Parallel lines s and r are cut by transversal m. Line s intersecting transversal m creating 4 angles, the top left angle is labeled as 89 degrees, and the bottom right angle is labeled as 89 degrees.
D
Image with description Parallel lines s and r are cut by transversal m. Line s intersecting transversal m creates 4 angles, the top left angle is labeled as 89 degrees. Line r intersecting transversal m creates 4 angles, the bottom right angle is labeled as 91 degrees.
6

Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p ? Choose three correct answers.

A
A is equal to c
B
b plus c is equal to 180 degrees
C
c is equal to d
D
b plus d is equal to 180 degrees
E
A is equal to d
7

Which must be true by the corresponding angles theorem?

A
angle 2 is congruent to angle 6
B
angle 5 is congruent to angle 7
C
angle 3 is congruent to angle 5
D
angle 1 is congruent to angle 7
8

Which lines are parallel? Justify your answer.

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

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