Unit Test — Unit test Answers

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21
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Which angle measures are correct? Select three options.

A
m∠X = 55°
B
m∠W = 125°
C
m∠W = 55°
D
m∠Z = 125°
E
m∠Z = 55°
22
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A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Question illustration
A
5.375
B
5.5
C
11
D
13
23

The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°

A
Yes, opposite angles R and T are congruent to each other if x = 35.
B
Yes, consecutive angles R and S are congruent to each other if x = 35.
C
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
D
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
24

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.

Question illustration
A
21.2 m
B
27.5 m
C
32.5 m
D
38.2 m
25

A corner of a rectangle is cut, creating a trapezoid.

Question illustration
A
105o
B
115o
C
125o
D
135o
26

On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5).

Question illustration
A
units
Option A
B
units
Option B
C
28 units
D
37 units
27

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
28

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4).

Question illustration
A
+ units
Option A
B
units
Option B
C
+ units
Option C
D
units
Option D
29

Rhombus LMNO is shown with its diagonals.

Question illustration
A
45°
B
56°
C
68°
D
90°
30

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
16 units
D
22 units
31

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

Question illustration
A
20°
B
30°
C
40°
D
50°
32

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

Question illustration
A
2 cm
B
5 cm
C
6 cm
D
9 cm
33

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

A
20° and 160°
B
50° and 130°
C
30° and 150°
D
70° and 110°
34

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (5, 1), point Q is at (6, 4), point R is at (3, 10), and point S is at (2, 7).

Question illustration
A
The slopes of SP and RQ are both –2 and SP = RQ = .
Option A
B
The slopes of RS and QP are both 3 and SP = RQ = .
Option B
C
The midpoint of RP is and the slope of RP is .
Option C
D
The midpoint of SQ is and SQ = 5.
Option D
35

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

Question illustration
A
congruent triangles
B
similar triangles
C
congruent rectangles
D
similar rectangles

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