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Topics on the Geometry Final

Total questions: 43

Worksheet time: 3hrs 39mins

Name
Class
Date
1.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
2.
Find side length X.
a)
30
b)
25
c)
15
d)
40
3.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
4.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

5.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

6.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

7.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
8.

A regulation bowling ball has a diameter of 8.5 inches. What is the volume of the bowling ball?

a)

302.49 in3

b)

75.66 in3

c)

2,571.14 in3

d)

321.56 in3

9.
V = ?
a)
904.77 ft3
b)
7,238.23 ft3
c)
150.72 ft3
d)
650.22 ft3
10.

Find the volume.

a)

112 in3

b)

336 in3

c)

11.2 in3

d)

33.6 in3

11.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
12.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
13.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

14.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
15.
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
16.
Which side is opposite angle x?
a)
1
b)
2
c)
3
17.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
18.

sinθ=\sin\theta=  

a)

oppositehypotenuse\frac{opposite}{hypotenuse}  

b)

hypotenuseopposite\frac{hypotenuse}{opposite}  

c)

adjacenthypotenuse\frac{adjacent}{hypotenuse}  

d)

oppositeadjacent\frac{opposite}{adjacent}  

19.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

20.

Which side is adjacent to angle A?

a)

5

b)

12

c)

13

21.

What is the length of the side adjacent to ∠A?

(NOT the hypotenuse)

a)
30
b)
40
c)
50
22.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
23.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
24.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
25.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
26.

 Complete the statement:

ΔBACΔ\Delta BAC\sim\Delta  _____

a)

FED

b)

EDF

c)

DEF

d)

FDE

27.
Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
28.
a)
x = 49.69
y = 12.86
b)
x = 67.28
y = 13.91
c)
x = 53.21
y = 12.75
d)
x = 74.82
y = 22.95
29.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
30.
Solve for x. 
a)
44.0
b)
41.4
c)
1.12
d)
0.723
31.
Find the volume of the following cone.
a)
489.84 m3
b)
2204.28 m3
c)
6612.84 m3
d)
244.92 m3
32.
Find the density of a 2 cm x 2 cm x 2 cm cube with a mass of 64 g.  (Hint: find the volume first!)
a)
6 cm3
b)
12 g/cm3
c)
128 g/cm3
d)
8  g/cm3
33.

The mass of the block is 508 grams. Find the density.

a)

1.2 g/cm3

b)

412.8 g/cm3

c)

8.3 g/cm3

d)

.84 g/cm3

34.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
35.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
36.

What type of transformation is this?

a)

rotation

b)

translation

c)

reflection

d)

dilation

37.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

38.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

39.

What is the intersection of sets A and B?

A B = ______

a)

1, 2, 3, 4. 5

b)

1, 2

c)

3, 4, 6, 8

d)

3, 4

40.

What is the probability that someone plays football and basketball?

a)

.68

b)

.52

c)

.81

d)

.39

41.

What is the probability that someone plays neither sport?

a)

.39

b)

.19

c)

.52

d)

.46

42.
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
a)
1/36
b)
1/18
c)
1/9
d)
1/6
43.
P(Pizza ∩ Water) =
a)
62/182
b)
120/400
c)
58/400
d)
140/400