Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathAngle Relationships

Parallel Lines Cut by a Transversal Answers

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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
2
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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
3

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
4

If x = 10, which lines are parallel? Check all that apply.

Question illustration
A
b is parallel to c
Option A
B
b is parallel to d
Option B
C
b is parallel to e
Option C
D
c is parallel to d
Option D
E
c is parallel to e
Option E
F
d is parallel to e
Option F
5

What is the measure of angle 1?

Question illustration
A
86°
B
88°
C
90°
D
92°
6

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
7

The diagram below shows several parking spots near the grocery store, formed with three parallel line segments and a transversal. If the measure of angle 4 is 132°, what is the measure of angle 7?

Question illustration
A
32°
B
48°
C
132°
D
148°
8

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.
9

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

Question illustration
A
3 and 7
Option A
B
1 and 7
Option B
C
4 and 6
Option C
D
1 and 8
Option D
10

Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are alternate interior angles with angle 3?

Question illustration
A
5 and 13
Option A
B
7 and 15
Option B
C
6 and 16
Option C
D
8 and 14
Option D
11

Which lines are parallel? Check all that apply.

Question illustration
A
b is parallel to f
Option A
B
b is parallel to d
Option B
C
c is parallel to e
Option C
D
c is parallel to d
Option D
E
d is parallel to f
Option E
F
e is parallel to f
Option F
12

Two parallel lines are cut by a transversal. Angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. What is the value of x?

A
One-half
Option A
B
2
C
8
D
12
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

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
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.

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