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Geometry Final

Total questions: 23

Worksheet time: 6hrs 45mins

Name
Class
Date
1.

Michele wanted to measure the height of her school's flagpole. She placed a mirror on the ground 48 feet from the flagpole, then walked backwards until she was able to see the top of the pole in the mirror. She is 5 feet tall and is standing 12 feet away from the mirror. Using similar triangles, find the height of the flagpole to the nearest tenth of a foot.

a)

20

b)

38.4

c)

55

d)

25

2.

One triangle has side length of 6, 8, 10. A second triangle has side lengths of 24, 32, 40. How do you know the triangles are similar?

a)

SSS

b)

AA

c)

SAS

d)

Not Similar

3.

One triangle has side length of 6, 8, 10. A second triangle has side lengths of 24, 32, 40. What is the scale factor of the larger to the smaller?

a)

4/1

b)

1/4

c)

1/2

d)

2/1

4.

Complete the similarity statement.

a)

RQT~QST~SQR

b)

QTR~SQT~SRQ

c)

TRQ~STQ~QRS

d)

QTR~SQT~QRS

5.

When identifying a triangle by it's sides, what is the most common right triangle?

a)

30, 60, 90

b)

45, 45, 90

c)

4, 5, 6

d)

3, 4. 5

6.

Find the value of x.

a)

45

b)

40

c)

55

d)

50

7.

Find the value of x.

a)

12

b)

8

c)

4

d)

16

8.

Is angle 3 an angle of depression or elevation?

a)

elevation

b)

depression

9.

An isosceles triangle has an area of 130 ft2. If the base is 10 ft, what is the length of each leg?

a)

16.1 ft

b)

27.9 ft

c)

26.5 ft

d)

776 ft

10.

Find the measure of angle 3.

a)

45

b)

22.5

c)

67.5

d)

27

11.

Find the area.

a)

374.1 cm2

b)

173.2 cm2

c)

192.2 cm2

d)

127.4 cm2

12.

Berinda plans to use landscaping timbers to build a border for her 12-foot by 14-foot rectangular garden. To determine the number of timber she needs, she must calculate the perimeter of the garden. What is the perimeter?

a)

44

b)

52

c)

168

d)

60

13.

Find the area.

a)

84

b)

80

c)

64

d)

116

14.

Find the area of the shaded segment.

a)

2.3

b)

2.6

c)

9.3

d)

6.2

15.

The base of a prism is a right triangle with a leg of 12 in. and hypotenuse of 15 in. The height of the prism is 10 in. What is its volume?

a)

540 in2

b)

780in2

c)

1020 in2

d)

450 in2

16.

A right cylinder has a radius of 3.2 cm and a height of 10.5 cm. What is its volume?

a)

107.5π cm3

b)

337.8π cm3

c)

230.4π cm3

d)

754π cm3

17.

The base of a pyramid is a square, 4.5 cm on a side. The height is 5 cm. Find the volume.

a)

33.75 cm3

b)

34.1 cm3

c)

22.5 cm3

d)

70.65 cm3

18.

Find the lateral area.

a)

104

b)

128

c)

120

d)

114

19.

Find the surface area of a sphere that has a radius of 4 mm.

a)

32π mm3

b)

24π mm3

c)

36π mm3

d)

64π mm3

20.
The probability of Asher's soccer team winning its next game is 7/10.  What is the probability of not winning their next game?
a)
unlikely
b)
3/10
c)
1/2
d)
impossible
21.
What is the probability of the spinner landing on red?
a)
5/12
b)
1/5
c)
5/5
d)
3/5
22.

Members of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?

a)

18

b)

120

c)

36

d)

18

23.

How many 5- Digit numbers can be formed using 0-9?

a)

10

b)

100,000

c)

15120

d)

10,000