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Chapter 3 Unit TEST: Parallel and Perpendicular Lines Answers

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1
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Two parallel lines are crossed by a transversal.

Question illustration
A
y = 40
B
y = 80
C
y = 100
D
y = 120
2
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Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees.

Question illustration
A
87
B
88
C
91
D
92
3

In the diagram, the length of segment QV is 15 units.

Question illustration
A
4 units
B
11 units
C
14 units
D
15 units
4

The given line segment has a midpoint at (3, 1).

Question illustration
A
y = x
Option A
B
y = x – 2
Option B
C
y = 3x
D
y = 3x − 8
5

In the diagram, CE=12 units and BE=5 units.

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
6

Lines a and b are parallel lines cut by transversal f.

Question illustration
A
20°
B
70°
C
110°
D
130°
7

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 4)
D
(4, 0)
8

The given line passes through the points (0, ) and (2, 3).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Two parallel lines are crossed by a transversal.

Question illustration
A
d = 55
B
d = 75
C
d = 125
D
d = 155
10

On a coordinate plane, 2 lines are shown. Line C D has points (negative 2, 4) and (0, negative 4). Line F G has points (negative 4, 0) and (4, 2).

Question illustration
A
They are perpendicular because their slopes are equal.
B
They are perpendicular because their slopes are negative reciprocals.
C
They are not perpendicular because their slopes are equal.
D
They are not perpendicular because their slopes are negative reciprocals.
11

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

A
Line E A
Option A
B
Line E R
Option B
C
Line E F
Option C
D
Line F G
Option D
E
Line F S
Option E
12

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
13

A given line has the equation .What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).

Question illustration
A
y = x + 4
Option A
B
y = x +
Option B
C
y = –5x + 4
D
y = –5x +
Option D
15

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

Question illustration
A
They are same-side interior angles, so angle 3 measures 50°.
B
They are alternate interior angles, so angle 3 also measures 130°.
C
They are corresponding angles, so angle 3 also measures 130°.
D
They are alternate exterior angles, so angle 3 measures 50°.
16

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

A
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Option A
B
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees.
Option B
C
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees.
Option C
D
2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Option D
17

Consider the diagram.

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
18

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

Question illustration
A
(–2, 0)
B
(0, –2)
C
(0, 4)
D
(4, 0)
19

Horizontal lines e and f are cut by vertical lines a and b. At the intersection of lines a and e, the uppercase right angle is (x + 1) degrees. At the intersection of lines a and f, the bottom right angle is (x minus 3) degrees. At the intersection of lines b and e, the bottom left angle is y degrees.

Question illustration
A
87
B
88
C
91
D
92
20

Given: and Prove: What is the missing reason in the proof?

Question illustration
A
given
B
transitive property
C
alternate interior angles theorem
D
converse alternate interior angles theorem

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