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VA SOL Math 8 MG 1, 2, 3

Total questions: 126

Worksheet time: 9hrs 54mins

Name
Class
Date
1.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

2.

Identify the transformation from ABC to A'B'C'.

a)

90o clockwise rotation

b)

90o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

3.

Identify the transformation.

a)

Reflection across y-axis

b)

90 Rotation counter clockwise

c)

Translation 5 units left, 1 unit up.

d)

Translation 5 units right, 1 unit down

4.

Write a rule for the translation.

a)

 (x -1, y  + 2)

b)

 (x -2, y  + 1)

c)

 (x +2, y  - 1)

d)

(x +1, y  -  2)

5.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

6.

Identify the transformation from ABC to A'B'C'.

a)

(x+8, y+4)

b)

(x-8, y-4)

c)

(x+4, y+8)

d)

(x-4, y-8)

7.

Is the picture being reflected in the y-axis or x-axis?

a)

y-axis

b)

x-axis

8.

What is this picture an example of? 

a)

An angle

b)

A cat vertex 

c)

Rotation 

d)

Dilation

9.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

10.

Reflections over the x-axis change the ____-__________. 

a)

y-coordinate

b)

x-coordinate

11.

Does the image show a Dilation?

a)

Yes

b)

No

12.

What transformation is happening?
(x, y) ----> (x + 2, y - 3) 

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

13.

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

a)

rotation

b)

translation

c)

dilation

d)

reflection

14.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

15.

Which transformation is not a rigid transformation?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

16.

What is Dilation?

a)

Dilation means to enlarge or reduce

b)

Dilation means to reflect on something

c)

Dilation means to like something

d)

Dilation means to make something different by making it smaller

17.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

18.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

19.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

20.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

21.

What Transformation is visible?

a)

Reflection

b)

Translation

c)

Dilation

d)

Rotation

22.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

23.

Are the figures congruent?

(What type of transformation is shown?)

a)

NOT Congruent (dilation)

b)

NOT Congruent (translation)

c)

Congruent (dilation)

d)

Congruent (translation)

24.

(x,y) becomes (-x,y)

a)

Reflections over y-axis

b)

Reflections over x-axis

c)

Rotation of 90 CW

d)

Rotation of 180

25.

(x,y) becomes (x+3,y)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

26.

(x,y) becomes (x,y+3)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

27.

(x,y) becomes (3x,3y)

a)

Translated up 3

b)

Translated Left 3

c)

Translated Right 3

d)

Dilated by 3

28.

(x,y) becomes (-x,y)

a)

Rotated 180

b)

Reflected over x-axis

c)

Reflected over y-axis

d)

Rotated 90 Clockwise

29.

Are the two triangles similar? If so, what is the scale factor?

a)

Yes, 2

b)

No

c)

Yes, 1/2

d)

Yes, 3

30.

Dilate the triangle by a scale factor of 1/2. What are the coordinates of B'?

a)

(3/2, -4)

b)

(-3/2,1)

c)

(-1,-3/2)

d)

(-2,-2)

31.

The red triangle has been dilated by a scale factor of 1/4, which triangle represents the image? 

a)

green triangle 

b)

red triangle 

c)

black triangle

d)

none of these 

32.

What Transformation is visible?

a)

Dilation

b)

Rotation

c)

Reflection

d)

Translation

33.

What Transformation is visible?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

34.

What Transformation is visible?

a)

Translation

b)

Relfection

c)

Dilation

d)

Rotation

35.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

36.

When you translate, (x,y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

37.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90o clockwise rotation

d)

90o counterclockwise rotation

38.

Write a rule for the translation.

a)

 (x -1, y  + 2)

b)

 (x -2, y  + 1)

c)

 (x +2, y  - 1)

d)

(x +1, y  -  2)

39.

The following is a ...

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

40.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

41.

The mathematical term for the line that you reflect a shape over is the...

a)

Mirror

b)

Reflective tape

c)

Line that you reflect over

d)

Line of reflection

42.

After a figure has been transformed, we call the new figure the...

a)

Image

b)

Different shape

c)

Figure that moved

d)

Prime

43.

Name the following shape.

a)

Triangular Pyramid

b)

Triangular Prism

c)

Rectangular Pyramid

44.

Name the following net.

a)

Triangular Pyramid

b)

Triangular Shape

c)

Square Pyramid

45.

Name the following net.

a)

Triangular Pyramid

b)

Triangular Prism

c)

Rectangular Prism

46.

Calculate the volume of the rectangular prism.

a)

26 units cubed

b)

28 units cubed

c)

30 units cubed

d)

32 units cubed

47.

Calculate the volume of this rectangular prism.

a)

5 cm35\ cm^3

b)

4 cm34\ cm^3

c)

2 cm32\ cm^3

d)

1 cm31\ cm^3

48.

Jack has a wardrobe with two compartments shaped like rectangular prisms. What is the volume of his wardrobe?

a)

144 cubic feet

b)

328 cubic feet

c)

168 cubic feet

d)

248 cubic feet

49.

To calculate the area of a circle:

a)

Area = π×Radius\pi\times Radius  

b)

Area = π×Radius2\pi\times Radius^2  

c)

Area = 2×π×Radius2\times\pi\times Radius  

d)

Area = Diameter ×RadiusDiameter\ \times Radius  

50.

The area of this circle is calculated:

a)

π×8\pi\times8  

b)

π×4\pi\times4  

c)

π×82\pi\times8^2  

d)

π×42\pi\times4^2  

51.

The area of this circle is calculated by:

a)

π×7×7\pi\times7\times7  

b)

2π×72\pi\times7  

c)

π×142\pi\times14^2  

d)

π×3.52\pi\times3.5^2  

52.

The volume for this cylinder is calculated by:

a)

10+4+10+410+4+10+4  

b)

b×hb\times h  

10×410\times4  

c)

π×r3\pi\times r^3  

π×43\pi\times4^3  

d)

 

π × r2 × h\pi\ \times\ r^2\ \times\ h  

π×42×10\pi\times4^2\times10  

53.

What is the volume of a cone with a radius of 4 cm and a height of 9 cm? Use 13πr2h\frac{1}{3}\pi r^2h for the volume of a cone.

a)

144π144\pi cm 3^3

b)

48π48\pi cm 3^3

c)

36π36\pi cm 3^3

d)

108π108\pi cm 3^3

54.

A cylinder has a radius of 3 cm and a height of 7 cm. What is its volume? Use πr2h\pi r^2h for the volume of a cylinder.

a)

63π63\pi cm 3^3

b)

21π21\pi cm 3^3

c)

42π42\pi cm 3^3

d)

126π126\pi cm 3^3

55.

What is the volume of a cylinder with a diameter of 8 cm and a height of 10 cm?

a)

320π320\pi cm 3^3

b)

160π160\pi cm 3^3

c)

640π640\pi cm 3^3

d)

80π80\pi cm 3^3

56.

A cylinder has a radius of 4 cm and a height of 12 cm. What is its volume?

a)

192π192\pi cm 3^3

b)

48π48\pi cm 3^3

c)

96π96\pi cm 3^3

d)

384π384\pi cm 3^3

57.

What is the volume of a cone with a radius of 3 cm and a height of 4 cm?

a)

12π12\pi cm 3^3

b)

36π36\pi cm 3^3

c)

4π4\pi cm 3^3

d)

9π9\pi cm 3^3

58.

A cylinder has a radius of 5 cm and a height of 20 cm. What is its volume?

a)

500π500\pi cm 3^3

b)

100π100\pi cm 3^3

c)

250π250\pi cm 3^3

d)

1,000π1,000\pi cm 3^3

59.
How many faces?
a)
2
b)
4
c)
6
d)
8
60.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
61.
How do you find the AREA of a TRIANGLE?
a)
Height x Base divided by 4
b)
Length x Width
c)
1/3 (Length x width)
d)
1/2 (Base x height)
62.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
63.
Find the surface area of the cylinder.
a)
471.24 square centimeters
b)
157.08 square centimeters
c)
314.16 square centimeters
d)
296.72 square centimeters
64.

Find the Volume of the 3D Object

a)

403.3 km3

b)

605 km3

c)

1210 km3

65.

Find the Volume of the 3D Object

a)

135 in3

b)

405 in3

c)

540 in3

66.

Find the Surface Area of the 3D Object

a)

279.9 m2

b)

371.8 m2

c)

526.2 m2

67.

Find the Surface Area of the 3D Object

a)

74.4 km2

b)

59.3 km2

c)

94.3 km2

68.

Find the Surface Area of the 3D Object

a)

365 km2

b)

361 km2

c)

342 km2

69.

What is this formula used for?

a)

Volume of a rectangular prism

b)

Volume of a triangular prism

c)

Surface area of a rectangular prism

d)

Volume of a pyramid

70.

What is this formula used for?

a)

Volume of a cylinder

b)

Volume of a cone

c)

Surface area of a cone

d)

Surface area of a cylinder

71.

What is this formula used for?

a)

Volume of a pyramid

b)

Surface area of a triangular prism

c)

Volume of a triangular prism or prism

d)

Volume of a cone

72.

What is this formula used for?

a)

Volume of a cylinder

b)

Volume of a cone

c)

Surface area of a cylinder

d)

Surface area of a cone

73.

What is this formula used for?

a)

Surface area of a triangular prism

b)

Surface area of a square pyramid

c)

Volume of a triangular prism

d)

Volume of a square pyramid

74.

What is this formula used for?

a)

Surface area of a square pyramid

b)

Surface area of a triangular prism

c)

Volume of a square pyramid

d)

Volume of a triangular prism

75.

What is this formula used for?

a)

Surface area of a triangular pyramid

b)

Surface area of a cone

c)

Volume of a triangular pyramid

d)

Volume of a cone

76.

What is this formula used for?

a)

Surface area of a triangular pyramid

b)

Surface area of a square pyramid

c)

Volume of a triangular prism

d)

Volume of a triangular pyramid

77.

What is this formula used for?

a)

Volume of a cylinder

b)

Volume of a cone

c)

Surface area of a cone

d)

Surface area of a cylinder

78.

What is this formula used for?

a)

Volume of a cone

b)

Volume of a cylinder

c)

Surface area of a cone

d)

Surface area of a cylinder

79.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
80.

Which of the following measures is an example of acute angle?

a)

90o

b)

89o

c)

100o

d)

95o

81.

What relationship exists between angles 1 and 2

a)

Corresponding angles

b)

Supplementary angles

c)

Vertical angles

d)

Alternate Exterior Angles

82.
What is the measure of the missing angle?
a)
39°
b)
129°
c)
119°
d)
129°
83.

Without using a protractor, find the measure of angle QRT.

a)

315 degrees

b)

45 degrees

c)

135 degrees

d)

145 degrees

84.

Find  m2.m\angle2.  

a)

131°131\degree  

b)

180°180\degree  

c)

49°49\degree  

85.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
86.

What angle pair is pictured?

a)

Kurt Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Complementary Angles

87.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
88.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

89.

What type of angles are these?

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Supplementary Angles

90.

Which angles are vertical angles?

a)

8 & 7\angle8\ \&\ \angle7

b)

8 & 6\angle8\ \&\ \angle6

c)

8 & 5\angle8\ \&\ \angle5

91.

Supplementary angles always add up to

(a)  

92.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
93.
Name the vertical angle to
∠h.
a)
∠f
b)
∠i
c)
∠g
d)
∠j
94.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
95.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
96.

∠1 and ∠2 are _____________

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

97.

What angle is adjacent and supplementary to angle 5?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

98.

Name an angle in the figure that is adjacent to angle 2.

a)

∠4

b)

∠5

c)

∠6

d)

∠1

99.

What is the measure of angle A? ( Hint- this is a straight angle).

a)

30o

b)

80o

c)

75o

d)

60o

100.

What is the measure of ∠BAD?

a)

123o

b)

23o

c)

90o

d)

180o

101.

The measure of ∠BAD = 110°. What is the measure of ∠CAD? Remember: An interior angle is missing.

a)

82o

b)

90o

c)

72o

d)

62o

102.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
103.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
104.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
105.
What is the measure of the missing angle?
a)
76
b)
66
c)
156
d)
154
106.
What is the value of "x"?
a)
19
b)
28
c)
18
d)
30
107.

Find x.

a)

53

b)

60.3

c)

60

d)

170

108.
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
109.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

110.
a)
x = 56
b)
x = 66
c)
x = 156
d)
x = 166
111.
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°
112.
The angle relationship shown is -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
113.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
114.
∠AOB and ∠COB can best be described as - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
115.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
116.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
117.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
118.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
119.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
120.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
121.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
122.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

123.
Name the relationship between a and b:
complementary, supplementary, vertical
a)
Complementary
b)
Supplementary
c)
Vertical
124.
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°
125.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
126.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90