NEW
Font size
S
M
L
XL
WorksheetsGEOM final REVIEW 2022
Total questions: 51
Worksheet time: 4hrs 37mins
Name
Class
Date
1.
Find the value of y.
a)
4
b)
2√6
c)
6√2
d)
12
2.
Find x.
a)
6
b)
10
c)
14
d)
8
3.
Solve for x.
a)
32
b)
24
c)
28
d)
30
4.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
5.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
6.
Solve for x.
a)
1 ft
b)
√102
c)
9√3
d)
3√3
7.
Solve for x and y.
a)
x = 4.5 and y = 4.5√3
b)
x = 4.5√3 and y = 4.5
c)
x = 9√3 and x = 4.5√3
d)
x and y both equal 4.5
8.
Solve for x and y.
a)
x = 2√3 and y = 2
b)
x = 2 and y = 2√3
c)
x = 2√2 and y =2√2
d)
x = 8√3 and y = 8
9.
Solve for x and y.
a)
x = 18 and y = 9√3
b)
x = 9√3 and y = 4.5
c)
x = 18 and y = 9
d)
x = 9√2 and y = 9
10.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
11.
Find a.
a)
12
b)
24
c)
24√3
d)
16
12.
Find a.
a)
2√3
b)
2
c)
12
d)
6
13.
Find x.
a)
9
b)
3√3
c)
6
d)
6√3
14.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
15.
Use the 45-45-90 theorem to solve for the hypotenuse.
a)
16
b)
8
c)
8√2
d)
√16
16.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
17.
Determine the value of x.
a)
x = 10√2
b)
x = 10
c)
x = 5√3
d)
x = 5√6
18.
Determine the value of c.
a)
c = 6√3
b)
c = 12√3
c)
c = 18
d)
c = 18√2
19.
In a triangle, if a² + b² > c², c being the longest side, then how would you classify it?
a)
acute
b)
scalene
c)
obtuse
d)
right
20.
Acute, right, or obtuse?
6, 12, 15
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
21.
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
22.
Solve for the missing angle
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
23.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
24.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
25.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
8o
26.
Solve for the missing angle
a)
50.2
b)
93.1
c)
12.6
d)
42.2
27.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
28.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
29.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
30.
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
31.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
32.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
33.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
34.
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
35.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
36.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
37.
Solve for the misssing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
38.
A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
39.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
40.
What is the length of the side opposite ∠Z?
a)
16
b)
30
c)
34
41.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
42.
What is the length of the side adjacent to ∠A?
a)
30
b)
40
c)
50
43.
What is the length of the side opposite ∠A?
a)
30
b)
40
c)
50
44.
What is the length of the side adjacent to ∠C?
a)
30
b)
40
c)
50
45.
What is the length of the side adjacent to ∠X?
a)
7
b)
24
c)
25
46.
How can you identify the hypotenuse of any right triangle?
a)
the shortest side
b)
the side attached to the right angle
c)
the side directly across from the right angle
d)
the side directly across from the most acute angle
47.
Give the letter that represents the adjacent side of this triangle.
a)
x
b)
y
c)
r
d)
90o
48.
Give the letter that represents the opposite side of this triangle.
a)
g
b)
h
c)
k
d)
∠1
49.
Give the letter that represents the opposite side of this triangle.
a)
t
b)
w
c)
y
d)
∠1
50.
Give the letter that represents the adjacent side of this triangle.
a)
p
b)
r
c)
s
d)
90o
51.
What is the side marked with an X?
a)
hypotenuse
b)
opposite side
c)
adjacent side
Reset
