Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Complementary Sphere

Total questions: 98

Worksheet time: 5hrs 46mins

Name
Class
Date
1.

True or False. These angles are complementary.

a)

True

b)

False

2.

Find x.

(a)  

3.

Find m.

(a)  

4.

True or False.

These angles are supplementary.

a)

True

b)

False

5.

Find x.

(a)  

6.

Find M.

(a)  

7.

True or False. ∠1 and ∠2 are vertical angles.

a)

True

b)

False

8.

What is the measure of angle 2 ?

What is the measure of ∠2 ?

(a)  

9.

Which of the following definitions apply to ∠1 and ∠2?

a)

Complementary Angle

b)

Supplementary Angle

c)

Vertical Angle

d)

None

10.

Which of the following definitions apply to ∠1 and ∠2?

a)

Complementary Angle

b)

Supplementary Angle

c)

Vertical Angle

d)

None

11.

Which of the following definitions apply to ∠P and ∠Q?

a)

Vertical angles

b)

Complementary angles

c)

Adjacent angles

d)

Supplementary angles

12.

Which of the following definitions apply to ∠1 and ∠3?

a)

Vertical angles

b)

Complementary angles

c)

Adjacent angles

d)

Supplementary angles

13.

Which of the following definitions apply to ∠1 and ∠2?

a)

Complementary Angle

b)

Supplementary Angle

c)

Vertical Angle

d)

None

14.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
15.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
16.
How are these angles related?
a)
Vertrical
b)
Complementary 
c)
Adjacent
d)
Supplementary 
17.
Use the image to answer the question.
a)
Definition of complementary angles
b)
Definition of vertical angles
c)
Definition of supplementary angles
d)
Definition of right angle
18.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
19.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
20.
Name the relationship between a and b:
complementary, supplementary, vertical
a)
Complementary
b)
Supplementary
c)
Vertical
21.
Are these angles complementary, supplementary or neither?
a)
complementary
b)
supplementary
c)
neither
22.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
23.
What is an example of a pair of complementary angles?
a)
13° and 45°
b)
10° and 170°
c)
81° and 9°
d)
90° and 3°
24.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
25.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
26.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
27.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
28.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
29.
a)
18
b)
19
c)
66
d)
77
30.
a)
25
b)
35
c)
45
d)
55
31.
a)
16
b)
143
c)
17
d)
129
32.
a)
23
b)
20
c)
44
d)
16
33.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
34.
What term is used to describe a pair, or group, of angles that equal 180 degrees?
a)
Supplementary Angles
b)
Complementary Angles
c)
Vertical Angles
d)
Congruent Angles
35.
What is the value of "a"?
a)
45
b)
55
c)
35
d)
65
36.
What is the value of "a"?
a)
82
b)
62
c)
72
d)
92
37.
What is the value of "x"?
a)
20
b)
30
c)
25
d)
15
38.
If x = 20, what are the measures of these angles?
a)
40° and 140°
b)
35° and 145°
c)
70° and 110°
d)
60° and 120°
39.
What is the value of "x"?
a)
19
b)
20
c)
21
d)
22
40.
If x = 19, what do these angles measure?
a)
123° and 57°
b)
123° and 60°
c)
123° and 40°
d)
123° and 55°
41.
What is the value of "x"?
a)
19
b)
28
c)
18
d)
30
42.
If x = 19, what do these angles measure?
a)
126° and 54°
b)
135° and 45°
c)
160° and 20°
d)
115° and 65°
43.
What is the value of "x"?
a)
10
b)
11
c)
12
d)
13
44.
If x = 10, what is the measures of these angles?
a)
110° and 70°
b)
120° and 60°
c)
130° and 50°
d)
140° and 40°
45.
If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?
a)
Acute Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
46.
If a triangle has all angles less than 90° and two equal sides, what type of triangle is it?
a)
Acute Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
47.
If a triangle has one angle exactly 90° and two equal sides, what type of triangle is it?
a)
Right Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
48.
Find the missing angle measure.
a)
61°
b)
153°
c)
27°
d)
146°
49.
Find the missing angle measure.
a)
30°
b)
45°
c)
35°
d)
100°
50.
a)
11
b)
25
c)
35
d)
50
51.
a)
16 m
b)
16 m2
c)
8 m2
d)
0 m2
52.
a)
42 yd2
b)
84 yd2
c)
19 yd2
d)
5 yd2
53.
a)
54 m2
b)
27 m2
c)
54 m
d)
27 m
54.
a)
24.08 mm
b)
12.04 mm2
c)
24.08 mm2
d)
12.04 mm
55.

Match the following diagrams with the angle relationship they depict.

a)

1.

Vertical Angles

b)

2.

Linear Pair

c)

3.

Alternate Interior Angles

d)

4.

Alternate Exterior Angles

e)

5.

Corresponding Angles

56.

Are the angles congruent or supplementary?

a)

Congruent

b)

Supplementary

c)

Not enough information

57.

If ∠A\angle A is 100°100\degree ,

what is the measure of ∠E\angle E ?

(Type just the number.)

58.

If ∠A\angle A is 100°100\degree ,

what is the measure of ∠H\angle H ?

(Type just the number.)

59.

Which equation would you use to solve for x?

a)

2x+4=602x+4=60

b)

2x+4+60=1802x+4+60=180

c)

Not enough information

60.

Which equation would you use to solve for x?

a)

2x+4=602x+4=60

b)

2x+4+60=1802x+4+60=180

c)

Not enough information

61.

Which of the following diagrams shows the correct color coding?

a)

b)

c)

d)

62.

​ (a)   angles always add to ​ (b)   degrees.

Choose from the below words
Supplementary
180
Complementary
90
Alternate Interior
360
63.

Click on the angle that corresponds with ∠4\angle4 .

64.

Click on the angle that is alternate exterior with ∠7\angle7 .

65.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
66.

Find the midpoint:

a)


(3,−1)\left(3,-1\right)

b)

(−1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

67.

Find the midpoint:

a)

(−32,−52)\left(-\frac{3}{2},-\frac{5}{2}\right)

b)

(−1,−3)\left(-1,-3\right)

c)

(−12,−52)\left(-\frac{1}{2},-\frac{5}{2}\right)

d)

(−3,−1)\left(-3,-1\right)

68.

Find the midpoint: (2,−7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

69.

Find the midpoint: (3,9),(−1,−5)\left(3,9\right),\left(-1,-5\right)  

a)

(−1,−2)\left(-1,-2\right)  

b)

(2,7)\left(2,7\right)  

c)

(−2,−7)\left(-2,-7\right)  

d)

(1,2)\left(1,2\right)  

70.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

71.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
72.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
73.
What is the center of MN given M(3, -1) and N(7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
74.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
75.

What is the distance between (-5, 3) and (4, -5)?

a)

−145\sqrt{-145}

b)

145\sqrt{145}

c)

145

d)

-145

76.
Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
77.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

78.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
79.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
80.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
81.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
82.

If point S is the midpoint of segment RT, what conclusion can you make?

a)
b)
c)
d)

It is not possible to make a conclusion from the given information.

83.

Given the diagram, what conclusion(s) can be made? Check all that apply.

a)

Point K is between point J and point L.

b)

Point K is the midpoint of segment JL.

c)
d)
e)
84.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
85.
Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
86.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
87.

Find the endpoint of the segment with one endpoint of (-4, 5) and midpoint of (7, -9).

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

88.
Find the value of x. 
a)
x=47
b)
x=19
c)
x=33
d)
x= -47
89.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
90.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
91.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
92.
What shape is this?
a)
Cylinder
b)
Cone
c)
Sphere
93.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
94.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
95.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
96.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
97.
Find the volume of this sphere.
a)
113 m³
b)
10.6 m³
c)
9.4 m³
d)
14.1 m³
98.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3