Proving Lines Parallel Answers

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4

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
9

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.
10

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.

Question illustration
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.
12

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
14

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°
15

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

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