Free Printable transformation

1.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

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.

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.

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

a)

y-axis

b)

x-axis

5.

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

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

6.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

7.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

8.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

9.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

10.

Which of the following are congruence transformations?

a)

Rotations

b)

Translations

c)

Reflections

d)

All Three

11.

What is the sequence of transformations?

a)

Reflect over the y then reflect over the x

b)

Reflect over the x then reflect over the y

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x

12.

If the triangle is transformed following the rule (x,y)⊣(x,-y), what transformation is modeled?

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

13.

If the triangle is transformed following the rule (x,y)⊣(-x,-y), what transformation is modeled?

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

14.

If the triangle is transformed following the rule (x,y)⊣(x+5,y-3), what transformation is modeled?

a)

Dilation

b)

Reflection

c)

Translation

d)

Rotation

15.

Which transformation does not preserve congruence?

a)

translation

b)

reflection

c)

rotation

d)

dilation

16.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

17.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

18.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

19.

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

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

20.

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

21.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

22.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

d)

(x-2, y+9)

23.

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.

24.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

25.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

26.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

27.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

28.

When you reflect a shape, you ______ over an axis or line.

a)

Flip

b)

Rotate

c)

Slide

d)

Expand

29.

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

30.

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

31.

Identify the transformation.

a)

Reflection across y axis

b)

Reflection across x-axis

c)

180 Rotation

d)

Translation 2 units down

32.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

33.

The rule for reflection over the y-axis is
(x, y) --> _

a)

(-x, y)

b)

(x, -y)

c)

(y, x)

d)

(-y, x)

34.

The rule for rotation of 180 degrees is
(x, y) --> _

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

35.

(x,y) --> (x+a, y+b)

a)

translation

b)

rotation

c)

reflection

d)

dilation

36.

What is the rule for a translation 2 units left and 3 units up?

a)

(x,y) --> (x+3, y+2)

b)

(x,y) --> (x+2, y+3)

c)

(x,y) --> (x-2, y-3)

d)

(x,y) --> (x-2, y+3)

37.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

right two, down five

b)

right two, down 9

c)

left two, up 9

d)

left two, down 5

38.

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)

39.

Which is a rule for a reflection over the x-axis?

a)

$f\left(x,y\right)=\left(x,-y\right)$

b)

$f\left(x,y\right)=\left(-x,y\right)$

c)

$f\left(x,\ y\right)=\ \left(-y,\ x\right)$

d)

$f\left(x,\ y\right)=\ \left(y,-\ x\right)$

40.

What does the rule $f\left(x,y\right)=\left(x-6,y+4\right)$ tell you to do?

a)

Translate right 6 & up 4

b)

Translate left 6 & up 4

c)

Translate right 6 & down 4

d)

Translate left 6 & down 4

41.

$f\left(x,y\right)=\left(-y,\ x\right)$ is a rule for which transformation?

a)

Reflection over the x axis

b)

Rotation 90 degrees counterclockwise

c)

Rotation 270 degrees counterclockwise

d)

Reflection over the line y=x

42.

Which rule shows a dilation with a scale factor of 2?

a)

$f\left(x,y\right)=\left(x+2,\ y+2\right)$

b)

$f\left(x,y\right)=\left(\frac{1}{2}x,\frac{1}{2}y\right)$

c)

$f\left(x,y\right)=\left(2x,2y\right)$

d)

You can't dilate a figure with a scale factor of two.

43.

Check all transformations that are an isometry

a)

Dilation

b)

Translation

c)

Rotation

d)

Reflection

44.

Which transformation performs a slide?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

45.

Which transformation is not an isometry?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

46.

Elijah is drawing the line $y=7$ This line is drawn in which direction?

a)

Horizontally, @ the point @ the point $y=7$

b)

Vertically, @ the point $y=7$

47.

Which written description matches the rule $f\left(x,y\right)=\left(-x,y\right)$

a)

Rotation 90 degrees ccw

b)

Rotation 270 degrees ccw

c)

Reflection over the x-axis

d)

Reflection over the y-axis

48.

$f\left(x,y\right)=\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$ is a rule for which transformation?

a)

Dilation with scale factor of 2

b)

Dilation with scale factor of 1/2

c)

Translation right 2 up 2

d)

Translation right 1/2 up 1/ 2

49.

Which rule describes the action of the coordinates when a figure is reflected over the x-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

50.

Which rule describes the action of the coordinates when a figure is rotated 180^o about the origin?

a)

(x, y)→(y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(-y, -x)

51.

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

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

52.

Reflecting over the y-axis changes the ____-_____________.

a)

x-axis

b)

x-coordinate

c)

y-coordinate

d)

none of the above

53.

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

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

54.

Reflecting over the y-axis changes the ____-_____________.

a)

x-axis

b)

x-coordinate

c)

y-coordinate

d)

none of the above

55.

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

56.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

right two, down five

b)

right two, down 9

c)

left two, down 9

d)

left two, down 5

57.

What transformation is shown?

a)

Rotation

b)

Reflection

c)

Translation

58.

What transformation is shown?

a)

Translation

b)

Reflection

c)

Rotation

59.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

d)

Dilation

60.

What transformation is happening to the red triangle to get to the blue triangle?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

61.

Describe the Transformation

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

62.

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

63.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

64.

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

65.

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

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

66.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

67.

For each pair of figures, decide whether you can take figure A to figure B by a translation, a rotation, or a reflection.

a)

translation

b)

rotation

c)

reflection

68.

For each pair of figures decide whether you can take figure A to figure B by a translation, a rotation, or a reflection.

a)

translation

b)

rotation

c)

reflection

69.

What is the math notation for "each point translates to the right 4 and down 3"

a)

$\left(x,y\right)\rightarrow\left(x+4,y+3\right)$

b)

$\left(x,y\right)\rightarrow\left(x-4,y-3\right)$

c)

$\left(x,y\right)\rightarrow\left(x+4,y-3\right)$

d)

$\left(x,y\right)\rightarrow\left(x-3,\ y+4\right)$

70.

What is the math notation for "each point translates to the left 4 and up 3"

a)

$\left(x,y\right)\rightarrow\left(x+3,y-4\right)$

b)

$\left(x,y\right)\rightarrow\left(x-4,y+3\right)$

c)

$\left(x,y\right)\rightarrow\left(x+4,y-3\right)$

d)

$\left(x,y\right)\rightarrow\left(x-3,\ y+4\right)$

71.

Translate this math notation

\left(x,y\right)\rightarrow\left(x,\ y-9\right)

a)

Each point translates right 9

b)

Each point translates left 9

c)

Each point translates up 9

d)

Each point translates down 9

72.

Translate this math notation

\left(x,y\right)\rightarrow\left(x-9,\ y\right)

a)

Each point translates right 9

b)

Each point translates left 9

c)

Each point translates up 9

d)

Each point translates down 9

73.

Translate this math notation

\left(x,y\right)\rightarrow\left(x+3,\ y\right)

a)

Each point translates right 3

b)

Each point translates left 3

c)

Each point translates up 3

d)

Each point translates down 3

74.

Translate this math notation

\left(x,y\right)\rightarrow\left(x,\ y+3\right)

a)

Each point translates right 3

b)

Each point translates left 3

c)

Each point translates up 3

d)

Each point translates down 3

75.

What is the math notation for "each point translates to the left 2"

a)

$\left(x,y\right)\rightarrow\left(x+2,y\right)$

b)

$\left(x,y\right)\rightarrow\left(x-2,y\right)$

c)

$\left(x,y\right)\rightarrow\left(x,y+2\right)$

d)

$\left(x,y\right)\rightarrow\left(x,\ y-2\right)$

76.

What is the math notation for "each point translates to the up 2"

a)

$\left(x,y\right)\rightarrow\left(x+2,y\right)$

b)

$\left(x,y\right)\rightarrow\left(x-2,y\right)$

c)

$\left(x,y\right)\rightarrow\left(x,y+2\right)$

d)

$\left(x,y\right)\rightarrow\left(x,\ y-2\right)$

77.

What is the math translation for point A

$\left(2,3\right)$ transforms to point A' $\left(4,10\right)$ ?

a)

$\left(x,y\right)\rightarrow\left(x+2,y+7\right)$

b)

$\left(x,y\right)\rightarrow\left(x-2,y-7\right)$

c)

$\left(x,y\right)\rightarrow\left(x+7,y+2\right)$

d)

$\left(x,y\right)\rightarrow\left(x-7,y-2\right)$

78.

What is the math translation for point A

$\left(2,3\right)$ transforms to point A' $\left(0,-4\right)$ ?

a)

$\left(x,y\right)\rightarrow\left(x+2,y-7\right)$

b)

$\left(x,y\right)\rightarrow\left(x-2,y-7\right)$

c)

$\left(x,y\right)\rightarrow\left(x+7,y+2\right)$

d)

$\left(x,y\right)\rightarrow\left(x-7,y-2\right)$

transformation

Total questions: 78

Worksheet time: 2hrs 32mins

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