AnswersALC EAP Geometry AUnit Test

Unit Test — Unit test Answers

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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
2
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Lines a and b are parallel lines cut by transversal f.

Question illustration
A
20°
B
70°
C
110°
D
130°
3

Two parallel lines are crossed by a transversal.

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A
d = 55
B
d = 75
C
d = 125
D
d = 155
4

Two parallel lines are crossed by a transversal.

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

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°.
7

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
8

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
9

Parallel lines e and f are cut by transversal b.

Question illustration
A
1
B
5
C
25
D
37
10

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

Question illustration
A
8
B
82
C
98
D
172
11

Two parallel lines are crossed by a transversal.

Question illustration
A
x = 40
B
x = 70
C
x = 110
D
x = 130
12

Lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase right angle is 110 degrees. At the intersection of lines b and e, the uppercase right angle is 110 degrees. At the intersection of lines b and f, the bottom right angle is 80 degrees.

Question illustration
A
Lines a and b are parallel because their corresponding angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are congruent.
C
Lines e and f are parallel because their corresponding angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are supplementary.
13

Two parallel lines are crossed by a transversal.

Question illustration
A
y = 30
B
y = 50
C
y = 110
D
y = 130
14

In the diagram, g ∥ h, m∠1 = (4x + 36)°, andm∠2 = (3x – 3)°.

Question illustration
A
21°
B
60°
C
120°
D
159°
15

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
16

Parallel lines e and f are cut by transversal b.

Question illustration
A
16
B
50
C
130
D
164
17

Given: Lines a and b are parallel and line c is a transversal.Prove: 2 is supplementary to 8

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
18

Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Select three options.

A
a = c
B
a = d
C
c = d
D
b + c = 180°
E
b + d = 180°
19

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

Question illustration
A
Lines a and b are parallel because their alternate exterior angles are congruent.
B
Lines a and b are parallel because their same side exterior angles are supplementary.
C
Lines e and f are parallel because their alternate exterior angles are congruent.
D
Lines e and f are parallel because their same side exterior angles are congruent.
20

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

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