AnswersGeometry AWriting Linear Equations

Writing Linear Equations — Unit test Answers

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21
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On a coordinate plane, a line goes through (negative 1, 1) and (0, negative 3). A point is at (negative 4, negative 3) and (0, negative 3).

Question illustration
A
y + 3 = −4(x + 4)
B
y + 3 = –(x + 4)
Option B
C
y + 3 = (x + 4)
Option C
D
y + 3 = 4(x + 4)
22
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What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)?

Question illustration
A
y = –x –
Option A
B
y = –x +
Option B
C
y = x – 1
Option C
D
y = x + 1
Option D
23

On a coordinate plane, a line goes through (negative 8, 4) and (8, 4). A point is at (negative 4, negative 6).

Question illustration
x
x = −6
x
x = −4
y
y = −6
y
y = −4
24

Consider the diagram.

Question illustration
7
7
9
9
1
18
2
25
25

On a coordinate plane, line P Q goes through (negative 3, negative 3) and (3, negative 1). Point R is at (1, 1).

Question illustration
(
(0, )
Option (
(
(0, 4)
(
(, 0)
Option (
(
(4, 0)
26

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
27

Lines a and b are parallel and lines e and f are parallel.

Question illustration
A
8
B
82
C
98
D
172
28

Consider the diagram.

Question illustration
A
7
B
9
C
18
D
25
29

On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2).

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

Given: m || n and p is a transversalProve: m2 = m7

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
transitive property
D
subtraction property
31

Given: x ∥ y and w is a transversalProve: ∠3 ≅ ∠6

Question illustration
A
transitive property
B
symmetric property
C
vertical angles are congruent
D
definition of supplementary angles
32

Consider the diagram.

Question illustration
A
non-coplanar.
B
parallel.
C
perpendicular.
D
skew.
33

Two parallel lines are crossed by a transversal.

Question illustration
A
y = 40
B
y = 80
C
y = 100
D
y = 120
34

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°.
35

On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).

Question illustration
A
(–6, 0)
B
(0, –6)
C
(0, 2)
D
(2, 0)
36

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.
37

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
38

On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).

Question illustration
A
(–4, 1)
B
(1, –2 )
C
(2, 0)
D
(4, 4)
39

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
40

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

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