Free Printable 8th Grade Math Midterm Study Guide

1.

The image shows what type of transformation?

a)

Rotation

b)

Translation

c)

Reflection

2.

changing a shape using a turn, flip, slide, or a resize.

a)

Transformation

b)

Translation

c)

Rotation

d)

Scale Factor

3.

What does dilation mean?

a)

a transformation that enlarges or reduces a figure

b)

a transformation that flips a figure

c)

a transformation that turns a figure

d)

a transformation that slides a figure

4.

What is the correct definition of a translation?

a)

moving a figure by reflecting across an axis

b)

moving a figure by sliding left/right or up/down

c)

moving a figure by rotating a figure

d)

moving a figure by enlarging or reducing a figure

5.

A reflection is

a)

flipping a figure

b)

turning a figure

c)

enlarging a figure

d)

sliding a figure

6.

Having the same size and shape; ^≅.

a)

Congruent

b)

Similar

c)

Image

d)

Preimage

7.

How many degrees was the figure rotated?

a)

270 degrees clockwise

b)

180 degrees

c)

90 degrees clockwise

8.

What type of rotation does this represent (from red to blue)?

a)

270⁰ clockwise

b)

180⁰

c)

90⁰ clockwise

9.

Triangle A is rotated 270° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

10.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

11.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

12.

If the dotted figure is the image, the original figure was reflected over the ...

a)

X-axis

b)

Y-axis

13.

If the dotted figure is the image, the original figure was reflected over the ...

a)

X-axis

b)

Y-axis

14.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

15.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

16.

Reflect over x-axis. Which point would be at (3, -6)

a)

A

b)

B

c)

C

d)

H

17.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Congruent

c)

Transformation

d)

Similar

18.

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

a)

3 up , 8 left

b)

9 down , 4 right

c)

8 down , 4 right

d)

2 up , 3 left

19.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-4, -5)

c)

(4, 4)

d)

(-1, 5)

20.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

21.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

22.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

23.

If your SF=6/5, what type of dilation is it?

a)

enlargement

b)

reduction

24.

A dilation is given by the transformation (x, y) → (.75x, .75y). What type of dilation is this?

a)

enlargement

b)

it is not a dilation

c)

reduction

25.

In a dilation what mathematical operation is used with the scale factor?

a)

division

b)

addition

c)

multiplication

d)

subtraction

26.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

27.

Solve for x: 6/12 = x / 6

a)

36

b)

2

c)

12

d)

3

28.

Solve for x: x/4 = 6/8

a)

4

b)

2

c)

3

d)

10

29.

You earn $15 every 3 weeks. At this rate, how much will you earn in 5 weeks?

a)

$25

b)

$35

c)

$5

d)

$10

30.

What is an equivalent ratio to 3/4?

a)

1/4

b)

4/5

c)

12/16

d)

14/18

31.

a)

1

b)

3

c)

9

d)

8

32.

a)

2

b)

4

c)

1

d)

3

33.

In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?

a)

18

b)

12

c)

4

d)

15

34.

The triangle sum theorem states that the sum of all angles in a triangle is

a)

$40\degree$

b)

$90\degree$

c)

$180\degree$

d)

$50\degree$

35.

What is the measure of a third angle in a triangle when the first two angles measure

34\degree\ and\ 101\degree

?

a)

$32\degree$

b)

$45\degree$

c)

$54\degree$

d)

$39\degree$

36.

Find the missing angle.

a)

$147\degree$

b)

$30\degree$

c)

$33\degree$

d)

$81\degree$

37.

Find the missing angle.

a)

$105\degree$

b)

$75\degree$

c)

$60\degree$

d)

$55\degree$

38.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

39.

Solve for x.

a)

16

b)

11

c)

50

d)

6

40.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

41.

Solve for x

a)

49

b)

58

c)

70

d)

94

42.

Solve for x

a)

70

b)

23

c)

120

d)

130

43.

Solve for x

a)

85

b)

78

c)

95

d)

110

44.

Solve for x

a)

60

b)

120

c)

40

d)

65

45.

Solve for x

a)

48

b)

85

c)

24

d)

9

46.

Solve for x

a)

3

b)

4

c)

2

d)

1

47.

The pair of figures is similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

48.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

49.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

50.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

51.

a)

4 ft

b)

15 ft

c)

18 ft

d)

2 ft

52.

Are the following similar? Why or why not?

a)

Yes

b)

No, the corresponding angles are not equal.

c)

No, the ratios of the corresponding sides are not equal.

53.

Are these triangles similar?

a)

Yes

b)

No

54.

Find y.

a)

144

b)

18

c)

72

d)

12

55.

Complete each proportion.
CB / DM = AC / ?

a)

BM

b)

MA

c)

BC

d)

AD

56.

Are the triangles similar?

a)

Yes

b)

No

57.

Find the measure of the indicated angle.

a)

145 degrees

b)

24 degrees

c)

20 degrees

d)

21 degrees

58.

If <a = 63* and <b = 88*, what is the measure of <c?

a)

29*

b)

30*

c)

90*

d)

180*

59.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

60.

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

61.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

62.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

63.

If angle P measures 60 degrees, what is the measure of angle C?

a)

60 degrees

b)

30 degrees

c)

120 degrees

64.

Angle A and C are...

a)

Supplementary

b)

Congruent

65.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

66.

Find the value of x.

a)

x = 95

b)

x = 85

67.

Find the value of x.

a)

x = 133

b)

x = 47

68.

If angle 4 is x + 15 and angle 2 is 3x - 5, what is the value of x?

a)

5

b)

10

c)

25

d)

x + 15

69.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

70.

WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

71.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 19 + 4X +1=180

72.

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

73.

What is the Angle Relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

74.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

75.

State the angle relationship and find the measure of angle 2

a)

Alternate Exterior
127

b)

Alternate Exterior
52

c)

Alternate Interior
127

d)

Alternate Interior
52

8th Grade Math Midterm Study Guide

Total questions: 75

Worksheet time: 6hrs 15mins

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