AnswersOC27 GEO-1206310-S1-Degele-VOL7006PSlopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines — Unit test Answers

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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
2
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Consider the diagram.

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
3

On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 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 not negative reciprocals.
4

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
5

The table represents a linear function.

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

Two parallel lines are crossed by a transversal.

Question illustration
A
y = 40
B
y = 80
C
y = 100
D
y = 120
7

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
8

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3
9

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

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

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
12

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.
13

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
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

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
16

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
17

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
18

Two parallel lines are crossed by a transversal.

Question illustration
A
d = 55
B
d = 75
C
d = 125
D
d = 155
19

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
20

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

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