AnswersAISD Geometry A Credit Recovery 2026-2027Applications of Slope and the Distance Formula

Parallel Lines Cut by a Transversal Answers

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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°
2
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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
3

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°.
4

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
5

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
6

Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are corresponding angles with angle 8?

Question illustration
A
4 and 12
Option A
B
2 and 10
Option B
C
6 and 14
Option C
D
3 and 9
Option D
7

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
8

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
9

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
10

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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