AnswersGeometry - Semester 1 PathwaysWriting Linear Equations

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
g = 75
B
g = 80
C
g = 100
D
g = 105
2
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Consider the diagram.

Question illustration
A
They lie in different planes and will never intersect.
B
They lie in the same plane but will never intersect.
C
They lie in different planes but will intersect if a plane is drawn to contain both lines.
D
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
3

In the diagram, the length of segment TR can be represented by 5x – 4.

Question illustration
A
3 units
B
11 units
C
13 units
D
15 units
4

In the diagram, the length of segment TR can be represented by 5x – 4.

Question illustration
3
3 units
1
11 units
1
13 units
1
15 units
5

Lines e and f are intersected by line a. At the intersection of lines a and e, the bottom right angle is 72 degrees. At the intersection of lines a and f, the uppercase right angle is 108 degrees.

Question illustration
A
alternate interior angles theorem
B
same side interior angles theorem
C
converse of the alternate interior angles theorem
D
converse of the same side interior angles theorem
6

Given: g ∥ h and ∠2 ≅ ∠3Prove: e ∥ f Statements Reasons1.g || h1.given2.∠1 ≅ ∠22.corresponding angles theorm3.∠2 ≅ ∠33.given4.∠1 ≅ ∠34.transitive property5.e || f5.?What is the missing reason in the proof?

Question illustration
A
vertical angles theorem
B
alternate exterior angles theorem
C
converse corresponding angles theorem
D
converse alternate interior angles theorem
7

Given: AB = BCProve: B is the midpoint of AC.

Question illustration
A
two-column proof
B
one-paragraph proof
C
flowchart proof
D
two-paragraph proof
8

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

Question illustration
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
9

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

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.
10

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.
11

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

Question illustration
y
y − 1 = −2(x − 4)
y
y – 1 = (x – 4)
Option y
y
y – 1 = (x – 4)
Option y
y
y − 1 = 2(x − 4)
12

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

A
(–4, 2)
B
(–1, 3)
C
(–2, 2)
D
(4, 2)
E
(–5, –1)
13

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5).

Question illustration
A
y + 5 = x + 2
B
y − 2 = x − 5
C
y − 5 = −(x − 2)
D
y + 2 = −(x + 5)
14

Two parallel lines, e and f, are crossed by two transversals.

Question illustration
A
m15 = 77°
Option A
B
m15 = 83°
Option B
C
m15 = 93°
Option C
D
m15 = 97°
Option D
15

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

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