WorksheetsChapter 7 Review
Total questions: 103
Worksheet time: 3hrs 24mins
Name
Class
Date
1.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
2.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
3.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
4.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
5.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
6.
Find the length of the missing side
a)
48
b)
108
c)
83.6
d)
72
7.
solve for c
a)
7
b)
9
c)
4
d)
13
8.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
9.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
10.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
11.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
Is this a right triangle?
a)
yes
b)
no
12.
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)
15.7
e)
None of them
13.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
14.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
15.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
16.
Solve for the walkway length
a)
30
b)
40
c)
58
d)
35
17.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
18.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
B
28.
a)
A
b)
B
c)
C
d)
D
29.
Find the geometric mean of 5 and 20.
a)
10
b)
15
c)
25
d)
50
30.
Find the geometric mean of 4 and 9.
a)
13
b)
6
c)
18
d)
97
31.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
32.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
33.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
34.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
35.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
36.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
37.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
38.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
39.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
40.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
41.
I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
42.
I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?
a)
Divide 8 by √3
b)
Divide 8 by 2
c)
Divide 8 by 2, then multiply that answer by √2
d)
Divide 8 by √3, then multiply that answer by 2
43.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
44.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
45.
Solve for a and b in the special right triangle.
a)
a = 5, b = 5
b)
a = 10, b = 10√2
c)
a = 10√2, b = 10√2
d)
a = 5√2, b = 5√2
46.
Do the following squares form a right triangle? Why or why not?
a)
No, because 9+15 does not equal 16
b)
No, because the squares are not equal
c)
Yes, because the squares are all different sizes
d)
Yes, becuase 9+15=16
47.
Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
48.
The triangular sail of a toy sailboat is supposed to be a right angle. The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches. Is the sail a right triangle?
a)
No
b)
Yes
49.
Alan made a small four-sided table for his office. The opposite sides of the table are 27 inches long and 36 inches long. If the diagonal of the table measures 40 inches, does the table have right angles at the corners? Why or why not?
a)
Yes, because it's a rectangle and rectangles have 90 degree angles in the corners
b)
Yes, because 27 and 36 are less than 40
c)
No, because 272+362 does not equal 402
d)
No, because 27+36 does not equal 40
50.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
51.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
52.
Determine if the following set of numbers are Pythagorean Triples.
9, 17, 18
9, 17, 18
a)
Yes
b)
No
53.
Solve for x. Round to the nearest tenth.
a)
9.5
b)
30.8
c)
3.1
54.
Solve for x. Round to the nearest tenth.
a)
7.5
b)
34.1
c)
14.1
55.
Find the length of side y.
a)
22.32 cm
b)
36.5 cm
c)
76.34 cm
d)
87.76 cm
56.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
57.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
58.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
59.
Solve for x and y in the special right triangle.
a)
x = 7, y = 7√2
b)
x = 14 y = 7√2
c)
x = 14√2 y = 7√2
d)
x = 14 y = 14√2
60.
Find the trig value rounded to the nearest ten-thousandth.
Tan(42°)
Tan(42°)
a)
.9004
b)
.8123
c)
88.6361
d)
42
61.
Find x
a)
20
b)
5.9
c)
33
d)
42
62.
a)
18.9
b)
19.5
c)
47
d)
27.5
63.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
64.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
65.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
66.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
67.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
68.
Solve for x. Round to the nearest tenth.
a)
5.3
b)
6.2
c)
8.5
69.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
70.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
11/√2
71.
Solve for x. Round to the nearest tenth.
a)
74.9
b)
3.6
c)
63.5
d)
54.1
72.
Solve for x. Round to the nearest tenth.
a)
19.0
b)
24.3
c)
21.0
d)
20.2
73.
Solve for x. Round to the nearest tenth.
a)
10.4
b)
8.9
c)
31.2
d)
11.9
74.
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
75.
Solve for the missing angle
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
76.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
77.
To use the Pythagorean Theorem, we need...
a)
A triangle with 2 known angles
b)
A right triangle with 2 known angles
c)
A triangle with 2 known sides
d)
A right triangle with 2 known sides
78.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
79.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
80.
Which trigonometric ratio is correct?
a)
cosC= adj/hyp
b)
sinC= adj/hyp
c)
tanC= adj/hyp
d)
tanC=adj/opp
81.
Solve the right triangle.
a)
<B = 39o, AB = 11.58, AC = 7.29
b)
<B = 39o, AB = 7.29, AC = 11.58
c)
<B = 129o, AB = 11.58, AC = 7.29
d)
<B = 129o, AB = 7.29, AC = 11.58
82.
Solve the right triangle.
a)
<A = 34o, <C = 56o, AC = 5.59
b)
<A = 56o, <C = 34o, AC = 5.59
c)
<A = 34o, <C = 56o, AC = 9.01
d)
<A = 56o, <C = 34o, AC = 9.01
83.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
84.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
85.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
86.
Fill in the blank...
SOH ___ TOA
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
87.
Use the Law of Sines to solve for BC
a)
33
b)
24
c)
12
d)
29
88.
Find AB
a)
10
b)
8
c)
6.1
d)
4.9
89.
What is the measure of angle A?
a)
58 degrees
b)
61 degrees
c)
78 degrees
d)
74 degrees
90.
Find AC
a)
12
b)
10
c)
23
d)
14
91.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
92.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
93.
What is sin-1(1/2)?
a)
150
b)
120
c)
60
d)
30
94.
What is cos-1(0)?
a)
-180
b)
90
c)
0
d)
-90
95.
Find m<B
a)
A
b)
B
c)
C
d)
D
96.
Find QR
a)
34.7 km
b)
2.2 km
c)
13.74
d)
31.1 km
97.
Find XZ
a)
16.004 meters
b)
544.165 meters
c)
34.7 meters
d)
1204.165 meters
98.
Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?
a)
5.461 feet
b)
9.743 feet
c)
6 feet
d)
7.65 feet
99.
Jack is flying his kite. He runs 100 feet away from his house and lets out 75 feet of string. The angle of elevation from the ground to the kite is 65 degrees. How far away is the kite from the house?
a)
9285.73 ft
b)
96.36 ft
c)
24061.81 ft
d)
155.12 ft
100.
Which of the following formulas shows the Law of Cosines?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
101.
Use Law of Cosines to find angle T
a)
62.2 degrees
b)
53.1 degrees
c)
59.5 degrees
d)
64.7 degrees
102.
Find angle Z
a)
20.145 degrees
b)
71.232 degrees
c)
51.055 degrees
d)
57.713 degrees
103.
Find m<C
a)
A
b)
B
c)
C
d)
D
100 %
