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Chapter 3 Unit TEST: Parallel and Perpendicular Lines Answers

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Two parallel lines are crossed by a transversal.

Question illustration
A
m = 68
B
m = 78
C
m = 102
D
m = 112
22
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What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.

A
9
B
25
C
49
D
81
23

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

Question illustration
A
x + 2y = 4
B
x + 2y = 8
C
2x + y = 4
D
2x + y = 8
24

Angle RSU is complementary to angle UST. Angle QSR is congruent to angle RSU.

Question illustration
A
They are complementary.
B
They are supplementary.
C
They are congruent.
D
They are obtuse.
25

Consider the two planes.

Question illustration
A
line a.
B
line b.
C
line d.
D
plane Q.
26

In the diagram, which angles form a linear pair? Select three options.

A
RST and RSV
Option A
B
RST and TSU
Option B
C
RST and VSU
Option C
D
TSU and USV
Option D
E
TSU and RSV
Option E
27

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

Question illustration
A
x + 2y = 4
B
x + 2y = 8
C
2x + y = 4
D
2x + y = 8
28

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
B
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
C
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
D
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
29

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Question illustration
A
(–6, 10)
B
(–4, –8)
C
(0, –1)
D
(2, 4)
30

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
31

Given: and g is a transversalProve:

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
32

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

A
45°
B
60°
C
120°
D
135°
33

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

A
2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 91 degrees. At the intersection with the second line, the bottom right angle is 91 degrees.
Option A
B
2 horizontal lines are intersected by another line. At the intersection with the first line, uppercase right angle is 91 degrees and the bottom left angle is 91 degrees.
Option B
C
2 horizontal lines are intersected by another line. At the intersection with the first line, the uppercase right angle is 89 degrees and the bottom right angle is 91 degrees.
Option C
D
2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.
Option D
34

On a coordinate plane, 2 lines are shown. Line A B has points (negative 4, negative 2) and (4, 4). Line C D has points (0, negative 3) and (4, 0).

Question illustration
A
They are parallel because their slopes are equal.
B
They are parallel because their slopes are negative reciprocals.
C
They are not parallel because their slopes are not equal.
D
They are not parallel because their slopes are negative reciprocals.
35

Lines c and d are intersected by line p. At the intersection of lines c and p, the bottom left angle is (3 x + 45) degrees. At the intersection of lines d and p, the uppercase left angle is 81 degrees.

Question illustration
A
12
B
18
C
81
D
99
36

Let p: The whole number has one digit.Let q: The whole number is less than 10.Which represents "The whole number has one digit if and only if the whole number is less than 10”?

A
p ∨ q
B
p ∧ q
C
p → q
D
p ↔ q
37

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Question illustration
A
(–6, 10)
B
(–4, –8)
C
(0, –1)
D
(2, 4)
38

The truth table represents statements p, q, and r. pqr AT T T BT T F CT F T DT F F EF T T FF T F GF F T HF F F

A
r → (p ∧ q)
B
r → (p ∨ q)
C
(q ∧ r) → p
D
(q ∨ r) → p
39

On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1).

Question illustration
A
y − 1 = −2(x − 4)
B
y – 1 = (x – 4)
Option B
C
y – 1 = (x – 4)
Option C
D
y − 1 = 2(x − 4)
40

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

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

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