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HGeo 22-23 Semester Exam Review

Total questions: 60

Worksheet time: 4hrs 9mins

Name
Class
Date
1.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2,  b = 4
d)
a = 4, b = 4
2.

What is the length of u and v in this triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

3.

Find a.

a)

3

b)

333\sqrt{3}

c)

6

d)

3\sqrt{3}

4.

Find x.

a)

10

b)

10310\sqrt{3}

c)

10210\sqrt{2}

d)

20

5.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
6.

Find X.

a)

24.3

b)

49.2

c)

27.5

d)

27.8

7.

Find X.

a)

2.9

b)

3.3

c)

8.1

d)

4.8

8.
Find the measure of the missing angle.
a)
28.1
b)
61.9
c)
25.2
d)
56.1
9.
Find the measure of AB. 
a)
11.6
b)
6.99
c)
14.3
d)
5.7
10.
Find the measure of the missing angle.
a)
70.8
b)
19.2
c)
43.4
d)
26.2
11.
Find the length of AC.
a)
5.7
b)
15.3
c)
34.4
d)
12.8
12.

Find the area of this regular polygon

a)

81.8 m2

b)

204.4 m2

c)

408.8 m2

d)

40.8 m2

13.
Find the area
a)
96 cm2
b)
48 cm2
c)
36 cm2
d)
48 cm
14.
Find the area.
a)
50.4
b)
700.56
c)
100.08
d)
1401.12
15.
Find the area.
a)
12.75
b)
191.25
c)
19.125
d)
95.625
16.
11. A company’s logo is formed by drawing a circle and then replacing the two opposite quarter circles with squares as shown. 
What is the approximate area of the logo?
a)
46 cm2
b)
32 cm2
c)
71 cm2
d)
85 cm2
17.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
18.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
19.
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
20.
a)
22.5 cm2
b)
45 cm2
c)
15.75 cm2
d)
31.5 cm2
21.
a)
46.2 ft2
b)
92.4 ft2
c)
64.2 ft
d)
92.4 ft
22.

Find the area of the rhombus in square feet.

a)

1100

b)

2200

c)

550

d)

275

23.

Find the area of the rhombus in square meters.

a)

35.78

b)

71.55

c)

17.89

d)

48

24.

Find the surface area of the figure.
Round your answer to the nearest hundredth.
Use the formula:  SA=4πr2SA=4\pi r^2  

a)

1,520.53 cm2cm^2

b)

760.27 cm2cm^2

c)

379.94 cm2cm^2

d)

759.88 cm2cm^2

25.

Find the volume of the sphere.

a)

904.32 ft3

b)

7,234.56 ft3

c)

150.72 ft3

26.

Find the volume of this cone.

a)

31415.9 m3

b)

10476.5 m3

c)

10466.7 m3

d)

31419.5 m3

27.

Find the volume of the cylinder rounded to the tenths place.

a)

64 cm3

b)

201.1 cm3

c)

402.1 cm3

d)

100.5 cm3

28.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
29.

Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?

a)

84 m2

b)

92 m2

c)

102 m2

d)

96 m2

30.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
216 yd3
b)
108 yd3
c)
72 yd3
d)
36 yd3
31.
Find the Volume
a)
72 cubic cm 
b)
24 cubic cm
c)
576 cubic cm
d)
48 cubic cm
32.
What is the volume of this composite figure? (The top hemisphere is removed from the cylinder.) Use 3.14 for pi.
a)
254.3 in3
b)
367.4 in3
33.
Find the volume of the composite solid.
Use 3.14 for pi.
a)
188.4 m3
b)
753.6 m3
34.
A cone-shaped hole is cut out of a cube. How much of the cube is left? Round your answer to the nearest cubic centimeter. 
a)
216 cm3
b)
25 cm3
c)
100 cm3
d)
191 cm3
35.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

36.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
37.

How is Figure F reduced to Figure B?

a)

Multiply each side by 1/2

b)

Multiply each side by 1/3

c)

Multiply each side by 1/4

d)

Multiply each side by 1/5

38.

Each inch in the picture represents 8 feet on the actual square shaped flag. What is the area of the actual flag?

a)

24 ft224\ ft^2

b)

48 ft248\ ft^2

c)

64 ft264\ ft^2

d)

144 ft2144\ ft^2

39.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
40.

Find the sum of the interior angles of a nonagon (nine sides)

a)

1260

b)

900

c)

1620

d)

180

41.

Find the measure of one interior angle in regular 25-gon. Round your answer to the nearest tenth if necessary.

a)

164.3⁰

b)

167.1⁰

c)

165.6⁰

d)

166.7⁰

42.

How are these two triangles similar? Solve for y.

a)

AA~, 32

b)

AA~, 9.6

c)

SAS~, 9.6

d)

SAS~, 4

e)

SAS~, 96

43.
(x, y) -> (2x, 2y) 
What is the coefficient 2 mean?
a)
plot 2 to the right and 2 up
b)
scale factor is 2 creating a new figure half the size
c)
scale factor is 2 making a figure twice the 
original
d)
I don't understand this question : ( 
44.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
45.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

46.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

47.

When you rotate 270 degrees clockwise the algebraic representation is ( x , y ) ---> ?

a)

( -x , -y )

b)

( -y , x )

c)

( y , -x )

d)

( x , y )

48.

What is the algebraic representation for a 90° clockwise rotation?

a)

(x, y) ----> ( -x, -y)

b)

(x, y) ----> ( y, -x)

c)

(x, y) ----> ( x, y)

d)

(x, y) ----> ( -y, x)

49.

What is the image of J (8, -6) after a rotation of 180° counterclockwise?

a)

J' (8, 6)

b)

J' (-6, 8)

c)

J' (-8, 6)

d)

J ' (-8, -6)

50.
How do you represent a translation Algebraically? 
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
51.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
52.
What is the algebraic notation of a figure is Translated 6 units right and 5 units up?
a)
(x, y) --> (x - 6, y + 5)
b)
(x, y) --> (x + 6, y + 5)
c)
(x, y) --> (x + 5, y - 6)
d)
(x, y) --> (6x, 5y)
53.

Calculate the area of the sector.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

54.

What is the area of the shaded sector?

a)

339.29 in2

b)

113.04 in2

c)

39.29 in2

d)

None of the above

55.

Find the area of the shaded space.

a)

113.10 units squared

b)

150.80 units squared

c)

157.82 units squared

d)

10.92 units squared

56.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
57.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
58.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
59.
In the equation (x-4)2+(y-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
60.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9

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