Unit Test — Unit test Answers

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1
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In the diagram, CE=12 units and BE=5 units.

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A
2 units
B
7 units
C
12 units
D
17 units
2
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In the diagram, the length of segment QV is 15 units.

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A
4 units
B
11 units
C
14 units
D
15 units
3

On a coordinate plane, line D F goes through points (negative 1, negative 3) and (2, 3). Point G is at (negative 4, negative 4).

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

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
5

Consider the diagram.

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
6

Two parallel lines are crossed by a transversal.

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

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

Question illustration
A
20°
B
70°
C
110°
D
130°
8

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.
9

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
10

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.
11

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
12

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)
13

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
14

Two parallel lines are crossed by a transversal.

Question illustration
A
d = 55
B
d = 75
C
d = 125
D
d = 155
15

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°.
16

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
17

Given: and Prove:

Question illustration
A
m∠1 = m∠4
B
m∠2 = m∠3
C
m∠1 + m∠4 = 180°
D
m∠2 + m∠3 = 180°
18

Lines c and d are parallel lines cut by transversal p.

Question illustration
A
∠1 ≅ ∠7
B
∠2 ≅ ∠6
C
∠3 ≅ ∠5
D
∠5 ≅ ∠7
19

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

A
Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and right angle is 89 degrees.
Option A
B
Lines s and r are intersected by line m. At the intersection of lines r and m, the top angle is 91 degrees. At the intersection of lines s and m, the top angle is 91 degrees.
Option B
C
Lines s and r are intersected by line m. At the intersection of lines r and m, the right angle is 91 degrees. At the intersection of lines s and m, the left angle is 89 degrees.
Option C
D
Lines s and r are intersected by line m. At the intersection of lines s and m, the left angle is 89 degrees and the top angle is 91 degrees.
Option D
20

In the diagram shown, the distance between points A and C is the same as the distance between points B and G.

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

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