AnswersCA-Math 8 BTransversals

Parallel Lines Cut by a Transversal Answers

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If and , which describes all the lines that must be parallel?

Question illustration
A
Only lines r and s must be parallel.
B
Only lines t and u must be parallel.
C
Lines r and s and lines t and u must be parallel.
D
Neither lines r and s nor lines t and u must be parallel.
4

What must be true for lines a and b to be parallel lines? Select two options.

Question illustration
A
m1 =
Option A
B
m2 = 58
Option B
C
x = 20
D
=
Option D
E
1 = 58
Option E
5

Which lists all the lines that are parallel to line s?

Question illustration
A
only line v
B
only line t and line v
C
only line u and line v
D
only lines t, u, and v
6

Which is enough information to prove that ?

Question illustration
A
Angle 2 is congruent to angle 4
Option A
B
Angle 4 is congruent to angle 8
Option B
C
Angle 6 + angle 7 = 180 degrees
Option C
D
Angle 3 + angle 4 = 180 degrees
Option D
8

Which is enough information to prove that ?

Question illustration
A
Angle 1 is congruent to angle 3
Option A
B
Angle 2 is congruent to angle 8
Option B
C
Angle 5 + angle 6 = 180 degrees
Option C
D
Angle 1 + angle 4 = 180 degrees
Option D
9

What is the measure of angle 1?

Question illustration
A
86°
B
88°
C
90°
D
92°
11

Parallel lines s and t are cut by a transversal, r, as shown. What is the value of x to the nearest whole number?

Question illustration
A
18
B
20
C
86
D
94
12

Parallel lines s and t are cut by a transversal, r. If the measure of angle 1 is 68°, what is the measure of angle 5?

Question illustration
A
22°
B
68°
C
112°
D
158°
13

Which correctly describes how to determine the measure of angle 1?

Question illustration
A
The 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 105°. Angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
B
The 105° angle and angle 2 are corresponding angles so angle 2 must measure 105°. Angles 1 and 2 are supplementary angles so angle 1 must measure 75°.
C
The 105° angle and angle 2 are alternate exterior angles so angle 2 must measure 75°. Angles 1 and 2 are supplementary angles so angle 1 must measure 105°.
D
The 105° angle and angle 2 are corresponding angles so angle 2 must measure 75°. Angles 1 and 2 are supplementary angles so angle 1 must measure 105°.
14

Parallel lines s and t are cut by a transversal r. Which angles are alternate exterior angles?

Question illustration
A
2 and 8
Option A
B
4 and 6
Option B
C
1 and 5
Option C
D
1 and 8
Option D
15

If and , which describes all the lines that must be parallel?

Question illustration
A
Only lines r and s must be parallel.
B
Only lines t and u must be parallel.
C
Lines r and s and lines t and u must be parallel.
D
Neither lines r and s nor lines t and u must be parallel.
18

Which is enough information to prove that ?

Question illustration
A
Angle 2 is congruent to angle 4
Option A
B
Angle 4 is congruent to angle 8
Option B
C
Angle 6 + angle 7 = 180 degrees
Option C
D
Angle 3 + angle 4 = 180 degrees
Option D

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