WorksheetsChapter 5 Review
Total questions: 58
Worksheet time: 2hrs 14mins
Name
Class
Date
1.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
2.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
3.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
4.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
5.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
6.
Find the missing side lengths.
a)
a = 4, b = 4
b)
a = 4, b = 2√2
c)
a = 2√2, b = 4
d)
a = 4, b = 4
7.
Use the 45-45-90 theorem to solve for the hypotenuse.
a)
16
b)
8
c)
8√2
d)
√16
8.
Find the value of x.
a)
3 sqrt(2)
b)
3
c)
6 sqrt(2)
d)
6
9.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
10.
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
11.
Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)
a)
4
b)
u
c)
v
12.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
13.
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
14.
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
15.
a)
x=10√3 y=30
b)
x=30√3 y=10
c)
x=10, y=30√3
d)
x=30 y=10√3
16.
a)
a=√6 b=√2
b)
a=4 b=2
c)
a=√6 b=2
d)
a=2 b4
17.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
18.
Find y.
a)
6
b)
24
c)
12√3
d)
6√3
19.
Find x.
a)
2√3
b)
3√3
c)
6√3
d)
12
20.
BONUS - Solve for x.
You will need to use 45-45-90 and 30-60-90 triangles.
You will need to use 45-45-90 and 30-60-90 triangles.
a)
10√3
b)
15
c)
5√3
d)
15√2
21.
Simplify √24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
22.
Simplify √28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
23.
Simplify √96
a)
16√6
b)
2√6
c)
4√6
d)
√2
24.
Simplify 3√16
a)
12
b)
48
c)
√12
d)
3√4
25.
Simplify 5√80
a)
20√5
b)
4√5
c)
5√20
d)
9√5
26.
Simplify: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
27.
Express the following in simplest radical form:
80
a)
45
b)
165
c)
220
d)
420
28.
Express the following in simplest radical form:
72
a)
62
b)
362
c)
38
d)
98
29.
46⋅3
a)
49
b)
72
c)
418
d)
122
30.
52⋅410
a)
2020
b)
1040
c)
405
d)
913
31.
6(26)
a)
12
b)
126
c)
236
d)
72
32.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
33.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
34.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
35.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
36.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
37.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
38.
What is the measure of the missing angle?
a)
82
b)
43
c)
55
d)
180
39.
Solve for x.
a)
16
b)
11
c)
50
d)
6
40.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
41.
What is the value of x?
a)
51
b)
49
c)
78
42.
What is the measure of angle 2?
a)
50
b)
65
c)
115
43.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
44.
Write and solve an equation to find x.
a)
x = 90
b)
x = 86
c)
x = 88
d)
x = 43
45.
a)
72
b)
67
c)
65
d)
54
46.
What is the value of x? (Hint: the two angles that connect are called vertical angles... they are always congruent.)
a)
64
b)
46
c)
127
d)
38
47.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
48.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
49.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
50.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
51.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
52.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
53.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
54.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
55.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
56.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
57.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
58.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
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