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Worksheets

Transformations

Total questions: 65

Worksheet time: 2hrs 54mins

Name
Class
Date
1.

This Picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

enlargement

2.

This picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

enlargement

3.

This picture is an example of:

a)

rotation

b)

reflection

c)

translation

d)

enlargement

4.

Looking at the top, darker triangle, how would you describe its' rotation to the position of the second lighter triangle?

a)

180 degrees clockwise

b)

90 degrees clockwise

c)

270 degrees anti-clockwise

d)

90 degrees anti-clockwise

5.

Describe the Translation of this shape, from A to A' :

a)

2 up, 2 left

b)

2 up, 2 right

c)

2 down, 2 right

d)

2 down, 2 left

6.

In this reflection picture, what is the mirror line or reflection line?

a)

y-axis

b)

x-axis

7.

In this picture, describe how the shape has been translated from the right side over to the left side - by looking at the letter A

a)

A has moved 6 right, 3 up

b)

A has moved 5 left, 4 up

c)

A has moved 6 left 3 up

d)

A has moved 6 left 4 up

8.

Describe the rotation of the Pink diamond to the green diamond:

a)

90 degrees clockwise

b)

180 degrees clockwise

c)

360 degrees clockwise

9.

In this reflection picture, where would the mirror line of reflection actually be?

a)

x-axis

b)

y-axis

c)

y=2

d)

x=2

10.

Which tranformation happened?

a)

Translation

b)

Rotation

c)

Reflection

11.

Which transformation happened?

a)

Translation

b)

Rotation

c)

Reflection

12.
a)

Translation

b)

Reflection

c)

Rotation

13.

Which transformation happened?

a)

translation

b)

reflection

c)

rotation

14.

How would you describe this tranformation?

a)

rotation of 90 degrees

b)

reflection across x-axis

c)

reflection across y-axis

d)

translation right 6

15.

Describe the transformation from red to green arrow.

a)

Rotation 180 degrees clockwise

b)

translation 6 units to the right

c)

Reflection across the y-axis

d)

Rotation 90 degrees counter-clockwise

16.

Describe the transformation.

a)

translation (x-1, y+4)

b)

rotation of 180 degrees

c)

reflect across x = 4

d)

translation (x+4, y-1)

17.

Translation, Reflection and Rotation are all ______ tranformations.

a)

Rigid

b)

Non-Rigid

18.

Two figures that have the same shape and size are called ______________.

a)

congruent

b)

obtuse

c)

linear

d)

acute

19.

Check all that apply. Which transformation below are considered rigid transformations?

a)

Translation

b)

Rotation

c)

Dilation

d)

Reflection

20.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o clockwise rotation

21.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

90o counterclockwise rotation

22.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

23.

Which transformation is shown?

a)

Translation

b)

Reflection over the x-axis

c)

Reflection over the y-axis

d)

180o rotation

24.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

25.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate 90 degrees cw 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 ccw about the origin.

26.
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
27.

Reflection is when you (a)   a shape.

28.

(a)   is when you turn a shape.

29.

This image shows different aspects/elements of 'Transformation'. Please choose the correct sequence of the aspects and elements using the image.

a)

A. Rotation

B. Translation

C. Reflection

b)

A. Reflection

B. Translation

C. Rotation

c)

A. Translation

B. Rotation

C. Reflection

d)

A. Translation

B. Reflection

C. Rotation

30.

In a translation, a shape is moved or slided a long a straight line without turning.

a)

FALSE

b)

TRUE

31.

If point H(–6, 2) is translated 3 units right and 4 units up, what are the coordinates of the translated image?

a)

(-2, 5)

b)

(-3, 6)

c)

(-9, -2)

d)

(-9, 6)

32.

Point N(6, –5) is reflected across the

x-axis. What are the coordinates of the image?

a)

(-6, -5)

b)

(-5, 6)

c)

(5, -6)

d)

(6, 5)

33.

If the figure is rotated 90 degrees clockwise, what are the coordinates of R?

a)

(-3, 3)

b)

(3, -3)

c)

(-3, -3)

d)

(3, 3)

34.

The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?

a)

(-3, 4)

b)

(3, -4)

c)

(-3, -4)

d)

(3, 4)

35.

Point W is located at (7, 3) on a coordinate plane. Point W is translated 2 units to the left and 3 units up. What are the coordinates of the image point W′?

a)

(10, 1)

b)

(9, 0)

c)

(5, 6)

d)

(4, 1)

36.

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

a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
d)

(x-2, y+9)

37.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
38.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

39.

Describe the transformation:

(x, y) -> (x, -y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

40.

Describe the transformation:

(x, y) -> (-x, y)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

41.

Describe the transformation:

(x, y) -> (-y, x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

42.

Describe the transformation:

(x, y) -> (y, -x)

a)

reflection across the x-axis

b)

reflection across the y-axis

c)

rotation 90 degrees clockwise

d)

rotation 90 degrees counterclockwise

43.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
44.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
45.
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)
46.
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)
47.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
48.

To slide or move a figure

a)

Translation

b)

Reflection

c)

Rotation

49.

A mirror image of a figure

a)

Translation

b)

Reflection

c)

Rotation

50.

Turning around a point

a)

Translation

b)

Reflection

c)

Rotation

51.

Which of the following describes the sequence of transformations shown?

a)

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

b)

Rotate 90 degrees clockwise 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 counterclockwise about the origin.

52.

(2, 6) --> Translate up 3, left 1 and rotate 180°

a)

(-1,-9)

b)

(1, -9)

c)

(5,5)

d)

(-5,5)

53.

Choose the correct transformations

a)

rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis

b)

right 1, down 4, and then reflection over the y-axis

c)

right 6, and then reflection over the x-axis

d)

reflection over the line y=x, and then translate up 4, right 2

54.
What sequence of transformations will get you from shape 1 to shape 2 to shape 3 in three steps?
a)
Rotation, then Dilation, then Reflection
b)
Translation, then Reflection, then Rotation
c)
Reflection, then
Dilation, then Rotation
d)
Dilation, then Translation, then Reflection
55.
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)
90o counter clockwise Rotation
56.
What is the rule for the following reflection? 
a)
Reflection across       y = −2
b)
Reflection across        x = −2
c)
Reflection across            x = 2
d)
Reflection across          y = 2
57.
What is the rule for the following reflection? 
a)
Reflection across       y = −1
b)
Reflection across        y = 1
c)
Reflection across            x = −1
d)
Reflection across          x = 1
58.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
59.
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
60.
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)
61.

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

a)
b)
c)
d)
62.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
63.

Isometries, also called rigid transformations, produce ____________ figures.

a)

parallel

b)

perpendicular

c)

congruent

d)

equal

64.

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

a)

(-1, 4)

b)

(1, 4)

c)

(6, -3)

d)

(-3, 6)

65.

Select all transformations that maintain angle measure and side length

a)

Translations

b)

Rotations

c)

Dilations

d)

Reflections

e)

Symmetry

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