Unit Test — Unit test Answers

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

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
2
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The endpoints of JK are J(–25, 10) and K(5, –20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?

A
–16
B
–11
C
–4
D
–1
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

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

Question illustration
A
20°
B
70°
C
110°
D
130°
5

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
6

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.
7

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
8

Segment CD is shown on the graph.

Question illustration
A
y = (3 – 1) + 1
Option A
B
y = (3 + 4) – 4
Option B
C
y = (3 – 1) + 1
Option C
D
y = (3 + 4) – 4
Option D
9

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)
10

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
11

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
12

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
13

The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?

Question illustration
A
a = 1 and b = 2
B
a = 2 and b = 1
C
a = 1 and a + b = 2
D
a = 2 and a + b = 2
14

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
15

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
(8, –4)
D
(10, –7)
16

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)
17

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

Question illustration
A
(−14,0)
B
(−10,−8)
C
(−5,3)
D
(−2,−3)
18

Kevin says that lines p and m will eventually intersect.

Question illustration
A
No, because they are non-coplanar.
B
No, because they are parallel.
C
Yes, because they are perpendicular.
D
Yes, because they are coplanar.
19

On a coordinate plane, 2 lines are shown. Line M N goes through (negative 4, 8) and (negative 4, negative 6). Line K L goes through (negative 8, 2) and (6, 2).

Question illustration
A
The lines intersect at point K.
B
The lines are parallel.
C
The lines are perpendicular.
D
The lines do not have slopes.
20

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

Question illustration
A
8
B
82
C
98
D
172

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