Free Printable U8 Transformation Review

1.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

2.

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)

3.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

4.

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

5.

Find the image of the $\Delta$ with vertices $P\left(-1,5\right),\ Q\left(-4,3\right),\ R\left(-2,1\right)$ after the similarity transformation:

Rotation 180 degrees about the origin AND Dilation: $\left(x,y\right)\rightarrow\left(2x,2y\right)$

a)

$P''\left(-10,1\right),\ Q''\left(-6,\ 8\right),\ R''\left(-2,\ 4\right)$

b)

$P''\left(5,-1\right),\ Q''\left(3,-4\right),\ R''\left(1,-2\right)$

c)

$P''\left(1,-5\right),\ Q''\left(4,-3\right),\ R''\left(2,-1\right)$

d)

$P''\left(2,-10\right),\ Q''\left(8,-6\right),\ R''\left(4,-2\right)$

6.

Which similarity transformation maps ABCD to A'B'C'D'?

a)

A $180\degree$ rotation followed by a dilation with scale factor 3

b)

A reflection in the x-axis followed by a dilation with scale factor 3.

c)

A $\frac{1}{3}$ rotation followed by a dilation with scale factor

d)

A reflection in the x-axis followed by a dilation with scale factor $\frac{1}{3}$

7.

Which similarity transformation maps WXYZ to W'X'Y'Z'?

a)

Reflection over the x-axis, followed by a dilation with a scale factor of 2

b)

Reflection over the y-axis, followed by a dilation with a scale factor of 2

c)

Reflection over the y-axis, followed by a dilation with a scale factor of $\frac{1}{2}$

d)

Reflection over the x-axis, followed by a dilation with a scale factor of $\frac{1}{2}$

8.

Choose the statement that accurately describes the relationship between ABCD and EFGH.

a)

ABCD and EFGH are congruent, but not similar.

b)

ABCD and EFGH are similar, but not congruent.

c)

ABCD and EFGH are both congruent and similar.

d)

ABCD and EFGH are neither congruent, nor similar.

9.

Triangle ABC with Vertices A(-1, 2), B(-1, -2), and C(-4, -2) is dilated by a scale factor of 2 to form triangle A’B’C’.

What is the length in units, of side A’B’?

a)

4

b)

2

c)

8

d)

7

10.

Are the following similar? Why or why not?

a)

Yes, they are both trapezoids

b)

No, they have different sizes

c)

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

d)

Yes, they have the same base and 4 angles

11.

What is the scale factor from MNOP to ABCD?

a)

2/3

b)

1/2

c)

3/2

d)

2

12.

What is a reflection?

a)

When you turn an object around a point.

b)

When you slide an object form one place to another.

c)

When you flip or mirror an object across a line.

d)

When you resize an object.

13.

State the line of reflection.

a)

Reflection across y-axis

b)

Reflection across x-axis

c)

Reflection across x = 1

d)

Reflection across y = 1

14.

What is this transformation?
(x, y) ----> (-x, y)

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Slide down 1

d)

slide left 1

15.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

d)

270 degrees counterclockwise

16.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

17.

Which picture shows a TRANSLATION?

a)

b)

c)

d)

18.

Identify the transformation from A to D. (All are rotated about the origin)

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

90^o Counterclockwise Rotation

19.

Reflect the point (2, -4) over y = x.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

20.

Reflect the point D (-9, -12) over the line y = -x.

a)

(12, 9)

b)

(-12, -9)

c)

(-12, 9)

d)

(12, -9)

21.

Triangle A is rotated 90° 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

22.

Which is a complete and accurate description of the transformation pictured?

a)

Rotation 90 degrees counterclockwise about the origin

b)

Rotation 180 degrees about the origin

c)

Rotation 90 degrees clockwise about the origin

d)

None of these

23.

How many degrees was the figure rotated around the origin?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

d)

90 degrees clockwise

24.

Which rule describes a 180° clockwise rotation about the origin?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

25.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(-x,-y)

c)

(x,y)→(-y,x)

d)

(x,y)→(x,y)

26.

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

27.

You can describe a rotation two ways. (choose one)

a)

clockwise and counterclockwise

b)

right and left

c)

up and down

28.

When a transformation does not change an image's shape or size, the two images are:

a)

Circumference

b)

Congruent

c)

Constant

d)

Similar

29.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o clockwise Rotation

d)

360^o Rotation

30.

Identify the transformation from B to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o clockwise Rotation

d)

360^o Rotation

31.

What is another word for rotation?

a)

Turn

b)

Flip

c)

Slide

d)

Shrink

32.

A rotation turns a figure around a fixed point called the (a) of rotation.

33.

The figure EFGH was rotated to E'F'G'H

either ____ .

a)

$90\degree\ clockwise\ or\ 270\degree\ counterclockwise$

b)

$270\degree\ clockwise\ or\ 90\degree\ counterclockwise$

c)

$180\degree\ clockwise\ or\ 180\degree\ counterclockwise$

d)

$180\degree\ clockwise\ or\ 90\degree\ counterclockwise$

34.

Ivy will rotate ABC using the rule (x, y) --> (-x, -y). Point C is (-5,-2). What is the location of C'?

a)

(5, 2)

b)

(2, 5)

c)

(-5, 2)

d)

(-5, -2)

35.

How many degrees does this shape rotate counterclockwise about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

36.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

37.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

38.

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

a)

½

b)

¼

c)

4

d)

2

39.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

40.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

41.

A dilation produces a similar figure

a)

True

b)

False

42.

A dilation produces a congruent figure

a)

True

b)

False

43.

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

a)

True

b)

False

44.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

45.

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

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

46.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

d)

90 degrees clockwise

47.

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)

48.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

49.

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

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

50.

To dilate by 1/2, what can you do?

a)

Multiply by -1

b)

Multiply by 2

c)

divide by 2

d)

divide by 1/2

51.

a transformation that changes the size of a figure, but not the shape

a)

translation

b)

rotation

c)

reflection

d)

dilation

52.

1.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

53.

2.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

54.

3.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

55.

4.) Is the dilation from A to B an enlargement or a reduction?

a)

enlargement

b)

reduction

56.

5.) What is the scale factor of the dilation from A to B ?

a)

1/4

b)

1/2

c)

1

d)

2

57.

6.) What is the scale factor of the dilation from A to B ?

a)

8

b)

2

c)

1/6

d)

1/3

58.

7.) What is the scale factor of the dilation from A to B ?

a)

2

b)

1

c)

1/2

d)

1/3

59.

What does congruent mean?

a)

corresponding sides and angles are congruent

b)

corresponding sides are proportional and corresponding angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

60.

Which series of transformations were performed in the figure?

a)

Translation 5 units down, reflection over the y-axis

b)

Reflection over the x-axis, translation 6 units right

c)

Rotation 90^oclockwise, reflection over the x-axis

d)

Rotation 180^oclockwise, reflection over the y-axis

61.

Which of the statements is true about the graphed triangles?

a)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

b)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

c)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

d)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

62.

Which of the following are Dilations?

a)

(x, y) → (x, 3y)

b)

(x, y) → (3x, 3y)

c)

(x, y) → (x, y - 3)

d)

(x, y) → (.5x, .4y)

63.

Which transformations keep figures congruent?

a)

translation, reflection, and dilation

b)

reflection, rotation, and dilation

c)

dilation, translation, reflection, and rotation

d)

translation, reflection, and rotation

64.

Which scale factor shrinks a figure?

a)

k = 0

b)

k =2

c)

k= 1/3

d)

k = 1

65.

What is the rule for the dilation pictured below?

a)

(x, y) → (½x, ½y)

b)

(x, y) → (x + 2, y + 2)

c)

(x, y) → (2x, 2y)

d)

(x, y) → (2x, 3y)

66.

Which of the following are similarity transformations? Choose all that apply.

a)

Translation

b)

Dilation

c)

Rotation

d)

Stretch

e)

Reflection

67.

Which of the following is the definition of a DILATION?

a)

A transformation that can change the size of a polygon but leaves the shape unchanged.

b)

A change in the shape of a polygon but leaves the size unchanged.

c)

A transformation that changess the size of a shape.

68.

Every dilation has a fixed point called the_________

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation

69.

True or false, when a figure is dilated, the corresponding sides are proportional?

a)

True

b)

False

70.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

71.

True or false, when a figure is dilated, the corresponding angles are congruent?

a)

True

b)

False

72.

Which series of transformations was used? Select ALL that apply.

a)

Rotation

b)

Reflection

c)

Dilation

d)

translation

73.

Which transformations can be used to confirm that the figures are similar?Select all that apply.

a)

Reflection

b)

Rotation

c)

Translation

d)

Dilation

74.

Which sequence of transformations can be used to prove that these shapes are similar? Select all that apply.

a)

reflection

b)

rotation

c)

translation

d)

dilation

75.

Which sequence of transformations can map ABCD to EFGH? Select all that apply.

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

76.

Which transformations can be used to map ABCD to JKLM?

a)

reflection

b)

rotation

c)

translation

d)

dilation

77.

Which of the following transformations are rigid motions?

a)

Translations

b)

Reflections

c)

Rotations

d)

Dilations

78.

Which of the following transformations are not rigid motions?

a)

Translations

b)

Reflections

c)

Rotations

d)

Dilations

79.

Identify the single rigid motion that performs the same mapping as the given composition. $T_{\left(1,1\right)}\left(T_{\left(0,1\right)}\left(T_{\left(1,0\right)}\right)\right)$

a)

$T_{\left(1,1\right)}$

b)

$T_{\left(0,1\right)}$

c)

$T_{\left(1,0\right)}$

d)

$T_{\left(2,2\right)}$

80.

Identify the single rigid motion that performs the same mapping as the given composition. $R_{\left(2,0\right),90\degree}\left(R_{\left(2,0\right),90\degree}\right)$

a)

$R_{\left(2,0\right),90\degree}$

b)

$R_{\left(4,0\right),90\degree}$

c)

$R_{\left(2,0\right),180\degree}$

d)

$R_{\left(4,0\right),180\degree}$

81.

When writing the notation for rotations, the negative degree indicates which direction?

a)

counterclockwise

b)

clockwise

82.

When writing the notation for rotations, the positive degree indicates which direction?

a)

counterclockwise

b)

clockwise

83.

Identify the inverse of the following transformation:

$T_{\left(1,3\right)}$

a)

$T_{\left(1,3\right)}$

b)

$T_{\left(-1,-3\right)}$

c)

$T_{\left(3,1\right)}$

d)

$T_{\left(-3,-1\right)}$

84.

Identify the inverse of the following transformation:

$R_{\left(-2,2\right),-90\degree}$

a)

$R_{\left(-2,2\right),-90\degree}$

b)

$R_{\left(-2,2\right),90\degree}$

c)

$R_{\left(2,-2\right),-90\degree}$

d)

$R_{\left(2,-2\right),90\degree}$

85.

Find the coordinates of the vertices of each figure after the given transformation.

a)

V'(5, -1), W'(3, -3), X'(4, -1)

b)

V'(2, -3), W'(4, -1), X'(3, -3)

c)

W'(-3, -3), X'(-4, -1), V'(-5, -1)

d)

W'(-3, -1), X'(-4, 1), V'(-5, 1)

86.

Find the coordinates of the vertices of each figure after the given transformation.

a)

Q'(-3, 1), R'(2, 1), S'(-1, 5), P'(-3, 3)

b)

P'(-2, 0), Q'(-2, 2), R'(3, 2), S'(0, -2)

c)

Q'(5, 5), R'(0, 5), S'(3, 1), P'(5, 3)

d)

Q'(3, 5), R'(-2, 5), S'(1, 1), P'(3, 3)

87.

Write a rule to describe each transformation.

a)

translation (x, y) → (x + 7, y)

b)

translation (x, y) → (x + 1, y + 3)

c)

rotation 180° about the origin

d)

translation (x, y) → (x + 6, y + 4)

88.

Write a rule to describe each transformation.

a)

rotation 90° clockwise about the origin

b)

reflection across y = x

c)

reflection across x = 2

d)

translation: (x, y) → (x - 3, y - 1)

89.

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

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

U8 Transformation Review

Total questions: 89

Worksheet time: 6hrs 21mins

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