AnswersGeometry AWriting Linear Equations

Writing Linear Equations — Unit test Answers

0 verified answers1 views
1
Free Preview

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

Question illustration
A
20°
B
70°
C
110°
D
130°
2
Free Preview

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
3

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
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

Determine the missing information in the paragraph proof.Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).Prove: The slopes of perpendicular lines are negative reciprocals.

Question illustration
A
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
Option A
B
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
Option B
C
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
Option C
D
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
Option D
6

Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.

Question illustration
A
alternate interior angles theorem
B
alternate exterior angles theorem
C
converse alternate interior angles theorem
D
converse alternate exterior angles theorem
7

Lines b and a are intersected by line f. At the intersection of lines f and b, the bottom left angle is angle 4 and the bottom right angle is angle 3. At the intersection of lines f and a, the uppercase right angle is angle 1 and the bottom left angle is angle 2.

Question illustration
A
m∠4 = 110° and m∠3 = 70°
B
m∠1 = 110° and m∠2 = 110°
C
m∠1 = 110° and m∠3 = 70°
D
m∠2 = 110° and m∠3 = 110°
8

Lines b and c are parallel.

Question illustration
A
m6 = 45°
Option A
B
m6 = 54°
Option B
C
m6 = 117°
Option C
D
m6 = 126°
Option D
9

On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

Question illustration
A
(–12, 8)
B
(–6, 6)
C
(2, 8)
D
(6, 0)
10

Consider the diagram.

Question illustration
A
7
B
9
C
18
D
25
11

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.
12

Planes T and X are parallel. Plane T contains line a. Plane X contains line b.

Question illustration
A
They are skew and will never intersect.
B
They are parallel and will never intersect.
C
They are perpendicular and will intersect.
D
They will intersect at two points.
13

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

Question illustration
A
y = x + 3
Option A
B
y = x + 2
Option B
C
y = x + 3
Option C
D
y = –x + 2
Option D
14

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.
15

On a coordinate plane, line M N goes through (negative 4, 0) and (4, 2). Point P is at (2, negative 4).

Question illustration
A
(0, 1)
B
(0, 4)
C
(1, 0)
D
(4, 0)
16

Two parallel lines are crossed by a transversal.

Question illustration
A
x = 40
B
x = 70
C
x = 110
D
x = 130
17

Two parallel lines are crossed by a transversal.

Question illustration
A
b = 32
B
b = 52
C
b = 118
D
b = 128
18

Letters a, b, c, and d are angle measures.

Question illustration
A
a
B
b
C
c
D
d
19

Consider the diagram.

Question illustration
A
RX
B
TX
C
SR
D
XS

Did you find these answers helpful?