Unit Test — Unit test Answers

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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
2
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Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

Question illustration
A
lengths of consecutive sides are not equal
B
slopes of opposite sides are equal
C
lengths of opposite sides are equal
D
slopes of consecutive sides are not equal
3

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
4

On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).

Question illustration
A
XZ is not perpendicular to XY
B
XZXY
Option B
C
The slope of XZ is , the slope of XY is , and XZ = XY = 5.
Option C
D
The slope of XZ is , the slope of XY is , and the slope of ZY = 7.
Option D
5

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

Question illustration
A
2 units
B
7 units
C
12 units
D
17 units
6

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Question illustration
A
20 units
B
24 units
C
48 units
D
68 units
7

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

Question illustration
A
∠M is supplementary to ∠O
B
∠N is supplementary to ∠P
C
∠M ≅ ∠P
D
∠N ≅ ∠P
8

On a coordinate plane, a line goes through (negative 5, negative 4) and (0, negative 3). A point is at (negative 2, 2).

Question illustration
A
y = x + 4
Option A
B
y = x +
Option B
C
y = –5x + 4
D
y = –5x +
Option D
9

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
10

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
11

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
22 units
D
39 units
12

The given line passes through the points (0, ) and (2, 3).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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
14

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2).

Question illustration
A
units
Option A
B
+ units
Option B
C
units
Option C
D
+ 8 units
Option D
15

Figure CDEF is a parallelogram.

Question illustration
A
2
B
3
C
4
D
5
16

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
17

Figure TUVS is a parallelogram.

Question illustration
A
angles T and V
B
angles S and U
C
angles U and V
D
angles S and T
18

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

Question illustration
A
x = 2
B
x = 6
C
y = 2
D
y = 6
19

On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at (5, negative 2).

Question illustration
A
10 units
B
10 + units
Option B
C
20 units
D
20 + units
Option D
20

Figure ABCD is a parallelogram.

Question illustration
A
∠B = 55°; ∠D = 55°
B
∠B = 55°; ∠D = 125°
C
∠B = 97°; ∠D = 97°
D
∠B = 83°; ∠D = 97°

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