Free Printable transformations

1.

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)

2.

$\Delta ABC$ is shown the coordinate plane. It will be rotated 90 degrees clockwise about the origin to form $\Delta A'B'C'$ . What will be the coordinates of $A',\ B'$ and $C'$ ?

a)

$A'\left(1,-2\right),\ \ B'\left(3,-3\right),\ C'\left(2,-5\right)$

b)

$A'\left(2,-1\right),\ B'\left(3,-3\right),\ C'\left(5,-2\right)$

c)

$A'\left(-1,2\right),\ B'\left(-3,3\right),\ C'\left(-2,5\right)$

d)

$A'\left(-1,-2\right),\ B'\left(-3,-3\right),\ C'\left(-2,-5\right)$

3.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

4.

Find K' if the figure is reflected across the x-axis

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

5.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

6.

The dashed figure is the image of the solid figure. What is the Algebraic Notation for the Translation?

a)

(x, y) --> (x - 7, y + 4)

b)

(x, y) --> (x + 7, y - 4)

c)

(x, y) --> (x + 4, y - 7)

d)

(x, y) --> (7x, 4y)

7.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

8.

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

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

9.

What is the ordered pair for C' if reflected over the y-axis?

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

10.

Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ counterclockwise to Point P'. What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

11.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

12.

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

13.

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

14.

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

a)

right 2, down 5

b)

right 2, down 9

c)

left 2, up 9

d)

left 2, down 9

15.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

16.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

17.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

18.

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)

19.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

20.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

21.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

22.

The result of a transformation.

a)

Pre-image

b)

Image

23.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

24.

What direction is the x-axis?

a)

horizontal

b)

vertical

c)

diagonal

d)

straight

25.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

26.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

27.

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

a)

y-axis

b)

x-axis

28.

Describe the transformation in the image.

a)

Translation

b)

Reflection

c)

Rotation

29.

Describe the transformation.

a)

translation: right 4 and up 6

b)

reflection across x=-2

c)

translation right 6 and down 1

d)

reflection across y=-2

30.

Describe the transformation.

a)

translation: right 3 and down 2

b)

felfection across y=-x

c)

rotation 180 degrees about the origin

d)

rotation 90 degrees clockwise about the origin

31.

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

a)

b)

c)

d)

32.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

33.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

34.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

35.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

36.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

37.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

38.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

39.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

40.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

41.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

42.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

43.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

44.

What single transformation was applied to Figure A to get Figure B?

a)

Translation

b)

Rotation

c)

Reflection

45.

Which of the following BEST describes the transformation?

a)

TRANSLATE 5 units down

b)

REFLECT over the x-axis

c)

ROTATE 90 degrees clockwise

d)

None of these

46.

Which of the following BEST describes the transformation?

a)

TRANSLATE 5 units down

b)

REFLECT over the x-axis

c)

ROTATE 90 degrees clockwise

d)

None of these

47.

Which figure is the IMAGE?

a)

ABC

b)

A'B'C'

c)

Not enough information

48.

Describe the translation.

a)

Translate 3 up and 4 right

b)

Translate 3 down and 4 left

c)

Translate down 2

d)

Translate 1 up and 3 left

49.

Describe the reflection.

a)

Reflect over the x-axis

b)

Reflect over the y-axis

c)

Reflect 180 degrees

d)

Reflect over the origin

50.

Describe the rotation.

a)

Rotate 90 degrees clockwise about the origin

b)

Rotate 90 degrees counter clockwise about the origin

c)

Rotate 180 degrees about the origin

d)

Rotate 180 degrees

51.

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)

52.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

53.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

54.

Identify the transformation from C to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

55.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

56.

What is the ordered pair for C' if reflected over the y-axis?

a)

(-3, 2)

b)

(3, 2)

c)

(-2, 3)

d)

(3, 0)

57.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

58.

What transformation is shown?

a)

Reflection

b)

Rotation

c)

Translation

59.

What transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

60.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

61.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

62.

A transformation that “turns” a figure about a fixed point is a _____________________.

a)

rotation

b)

translation

c)

reflection

d)

dilation

63.

How is Quadrilateral EFGH translated to E'F'G'H'?

a)

6 down

b)

6 down, 1 right

c)

6 down, 3 left

d)

8 down, 1 right

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.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90^o counter clockwise rotation

66.

Translated figures are always __________________.

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

67.

A type of transformation where a geometric figure slides horizontally, vertically, or both.

a)

dilation

b)

translation

c)

rotation

d)

reflection

68.

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)

69.

A reflection ____________________.

a)

turns a figure around a point.

b)

slides an object form one place to another.

c)

flips or mirrors an object across a line.

d)

changes the size of an object.

70.

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

71.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

72.

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

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

73.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

74.

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

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

75.

Select the rule for reflecting over the x-axis.

a)

(x,y)-->(-x,y)

b)

(x,y)-->(x,-y)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(y,x)

76.

Select the rule for rotating 90 degrees clockwise.

a)

(x,y)-->(-y,x)

b)

(x,y)-->(y,-x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-y,-x)

77.

Select the rule for rotating 270 degrees counterclockwise.

a)

(x,y)-->(-y,x)

b)

(x,y)-->(y,-x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-y,-x)

78.

Select the rule for rotating 270 degrees clockwise.

a)

(x,y)-->(-y,x)

b)

(x,y)-->(y,-x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-y,-x)

79.

Select the rule for rotating 180 degrees.

a)

(x,y)-->(-y,x)

b)

(x,y)-->(y,-x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-y,-x)

80.

Select the rule for reflecting over the y-axis.

a)

(x,y)-->(-x,y)

b)

(x,y)-->(x,-y)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(y,x)

81.

Translating right 7 units would affect which coordinate, x or y?

a)

x coordinate

b)

y coordinate

c)

both

d)

neither

82.

Translating down 5 units would affect which coordinate, x or y?

a)

x coordinate

b)

y coordinate

c)

both

d)

neither

83.

Select the rule for rotating 90 degrees counterclockwise.

a)

(x,y)-->(-y,x)

b)

(x,y)-->(y,-x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-y,-x)

transformations

Total questions: 83

Worksheet time: 1hrs 23mins

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