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Part 2: Review for the Final int math 2

Total questions: 50

Worksheet time: 13hrs 30mins

Name
Class
Date
1.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
2.

Find x.

a)

75

b)

45

c)

63

d)

85

3.

Find x.

a)

75

b)

45

c)

15

d)

30

4.

Find x.

a)

60

b)

90

c)

50

d)

180

5.
Solve for x.
a)
16
b)
11
c)
50
d)
6
6.
Solve for x.
a)
6
b)
-10
c)
7
d)
-9
7.
a)

acute

b)

obtuse

c)

right

8.
a)

acute

b)

obtuse

c)

right

9.
a)

equilateral

b)

isosceles

c)

scalene

10.
a)

equilateral

b)

isosceles

c)

scalene

11.
a)

equilateral

b)

isosceles

c)

scalene

12.

Classify this triangle by its sides and angles.

a)

acute

b)

obtuse

c)

isosceles

d)

equilateral

13.

Correct the error in classifying this triangle

a)

It is acute and isosceles

b)

It is obtuse and isosceles

c)

It is right and scalene

d)

It is obtuse and scalene

14.

What is the side of a right triangle across from the right angle called?

a)

Square

b)

Arm

c)

Leg

d)

Hypotenuse

15.

The Pythagorean Theorem ONLY works on which triangle? 

a)

Obtuse

b)

Right

c)

Acute

d)

Isosceles

16.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

Not enough information

17.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

18.

Find the length of the missing side

a)

20

b)

68

c)

16

d)

80

19.

Is this a right triangle

a)

Yes

b)

No

20.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

172+82=b217^2+8^2=b^2  

b)

82+b2=1728^2+b^2=17^2  

c)

172+b2=8217^2+b^2=8^2  

d)

82b2=172100\frac{8^2}{b^2}=\frac{17^2}{100}  

21.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

22.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

a)

105 meters

b)

79.4 meters

c)

210 meters

d)

150 meters

23.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

24.

How far from the base of a house do you need to place a 15' ladder so that is exactly reaches the top of a 12' wall?

a)

9 feet

b)

19.2 feet

c)

81 feet

d)

369 feet

25.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
26.

Choose the correct values for x and y in the right triangle.

a)

x=12x=12

b)

x=122x=12\sqrt{2}

c)

y = 24y\ =\ 24

d)

y=122y=12\sqrt{2}

27.

Choose the correct values for x and y in the right triangle.

a)

x=18x=18

b)

x=92x=9\sqrt{2}

c)

y = 9y\ =\ 9

d)

y=92y=9\sqrt{2}

28.

Choose the correct values for x and y in the right triangle.

a)

x=33x=3\sqrt{3}

b)

x=6x=6

c)

y = 33y\ =\ 3\sqrt{3}

d)

y=6y=6

29.

Choose the correct values for x and y in the right triangle.

a)

x=562x=\frac{5\sqrt{6}}{2}

b)

x=5x=5

c)

y = 10y\ =\ 10

d)

y=103y=10\sqrt{3}

30.

Choose the correct values for x and y in the right triangle.

a)

x=1133x=\frac{11\sqrt{3}}{3}

b)

x=11x=11

c)

y = 22y\ =\ 22

d)

y=113y=11\sqrt{3}

31.

Choose the correct values for x and y in the right triangle.

a)

x=63x=6\sqrt{3}

b)

x=9x=9

c)

y = 36y\ =\ 3\sqrt{6}

d)

y=63y=6\sqrt{3}

32.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
33.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
34.

If the triangles are similar, state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

35.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
36.

Determine the similarity ratio.

a)

65\frac{6}{5}

b)

52\frac{5}{2}

c)


32\frac{3}{2}

d)

not similar

37.

if sin(x) = 52/65, find cos(x).

a)

cos(x) = 3/5

b)

cos(x) = 5/3

c)

cos(x) = 4/3

d)

cos(x) = 3/4

38.

Which ratio represents the cos(θ)?

a)

x/y

b)

x/z

c)

y/x

d)

y/z

39.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

40.

Find the value of x.

a)

16.0

b)

20.5

c)

20.3

d)

42.2

41.

Find the value of x.

a)

6.6

b)

7.3

c)

13.5

d)

30.8

42.

Find the value of x.

a)

6.2°

b)

83.8°

c)

43.3°

d)

62.7°

43.

Find the value of the missing angle.

a)

31°

b)

41°

c)

49°

d)

17°

44.

Find the missing value.

Round to the nearest tenths.

a)

33.9 mm

b)

3.4 mm

c)

10.5 mm

d)

36.2 mm

45.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

46.
What is the correct ratio?
a)
6/10
b)
6/8
c)
8/10
d)
8/6
47.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
48.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

49.
You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat? 
a)
11.1 ft. 
b)
9 ft. 
c)
7.4 ft. 
d)
13.8 ft. 
50.

Equilateral

a)

All sides and all angles are congruent

b)

2 sides and 2 angles are congruent

c)

All sides and all angles are NOT congruent

d)

Angles are all less than 90 degrees