AnswersPARTA - EOP PGCPS GEOMETRY OC FALL2026 - 793413Slopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines — Unit test Answers

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1
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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
2
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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.
3

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)
4

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
5

The table represents a linear function.

Question illustration
–
–8
–
–4
2
2
5
5
6

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.
7

Consider the two planes.

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

The table represents a linear function.

Question illustration
–
–10
–
–5
5
5
1
10
10

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)
11

In the diagram, DC is 10 units and BC is 6 units.

Question illustration
A
6 units
B
8 units
C
12 units
D
16 units
12

To graph the equation 2x + 5y = 10, Zeplyn draws a line through the points (5, 0) and (0, 2). What is the slope of the line represented by 2x + 5y = 10?

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 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
15

Two parallel lines are crossed by a transversal.

Question illustration
A
g = 75
B
g = 80
C
g = 100
D
g = 105
16

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
17

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
18

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.
19

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
20

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
21

Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes since the bus left the school.

Question illustration
A
Tracie’s bus travels towards her home at an average speed of mile per minute.
Option A
B
Tracie’s bus travels towards her home at an average speed of 2 miles per minute.
C
Tracie’s bus travels away from her home at an average speed of mile per minute.
Option C
D
Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

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