Unit Test — Unit test Answers

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3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

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A
as three triangles and a circle
B
as two triangles, a rectangle, and a circle
C
as a triangle, a pentagon, and a semicircle
D
as a triangle, a rectangle, and a semicircle
2
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A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm
3

On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4).

Question illustration
A
12 square units
B
14 square units
C
15 square units
D
24 square units
4

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

Question illustration
A
9 units
B
11 units
C
18 units
D
21 units
5

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0).

Question illustration
A
24 square units
B
26 square units
C
32 square units
D
38 square units
6

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

Question illustration
A
(25π – 48) cm2
B
(25π – 30) cm2
C
(25π – 24) cm2
D
(25π – 12) cm2
7

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Question illustration
A
State A had approximately 1,533 more earthquakes than State B.
B
State B had approximately 1,533 more earthquakes than State A.
C
State A had approximately 3,362 more earthquakes than State B.
D
State B had approximately 3,362 more earthquakes than State A.
8

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

Question illustration
A
2.7 cm2
B
4.1 cm2
C
16.2 cm2
D
24.2 cm2
9

An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisles. Each aisle is 80 feet by 10 feet. The three areas set aside for the parking spaces are congruent rectangles.

Question illustration
A
10
B
30
C
35
D
40
10

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.

Question illustration
A
98°
B
108°
C
118°
D
128 °
11

A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.

Question illustration
A
4 units
B
6 units
C
8 units
D
9 units
12

Which polygon is a concave octagon?

A
A polygon has 7 sides. One angle goes inside of the shape.
Option A
B
A polygon has 8 sides.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides.
Option D
13

The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. A state had 424 earthquakes over a given time span and a land area of 71,300 square miles.What is the seismic activity density for this state? Round to the nearest ten thousandth, if necessary.

A
0.0046 earthquakes per square mile
B
0.0059 earthquakes per square mile
C
168.1604 earthquakes per square mile
D
179.0049 earthquakes per square mile
14

Polygon A B C D is shown with exterior angles. Exterior angle A is 25 degrees, exterior angle B is 146 degrees, and exterior angle D is 149 degrees.

Question illustration
A
25º
B
40º
C
140º
D
155º
15

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

Question illustration
A
Each area is equal to half of the area of ABCD.
B
The area of AXYD is less than the area of BXYC.
C
The area of AXYD is greater than the area of BXYC.
D
Each area is equal to the area of ABCD.
16

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).

Question illustration
A
10 square units
B
12 square units
C
20 square units
D
24 square units
17

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
18

The area of the regular pentagon is 6.9 cm2.

Question illustration
A
2 cm
B
5 cm
C
10 cm
D
20 cm
19

Which statements are true? Select three options.

A
The population density for City B can be found using the ratio 48,592 : 26.
B
The population density for City D can be found using the ratio 258 : 196,429.
C
City A has the greatest population density of the four cities.
D
The population density of City B is greater than that of City C.
E
City D has the lowest population density of the four cities.
20

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

Question illustration
A
36°
B
40°
C
45°
D
60°

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