Free Printable Reflections and Translations

Worksheets

Reflections and Translations

Total questions: 52

Worksheet time: 2hrs 56mins

Name

Class

Date

Select the transformation that would take Figure A to Figure B.

Translation

Rotation

Reflection

None of these transformations

Select the transformation that would take Figure A to Figure B.

Translation

Rotation

Reflection

None of these transformations

What does it mean to reflect a shape?

To make a shape bigger or smaller.

To turn, or spin, a shape.

To move a shape up, down, left, and right.

To flip a shape.

The BLUE triangle is the image of RED triangle after a single transformation. What is the correct type of transformation?

Reflection

Rotation

Translation

Enlargement

Triangle B is the image of triangle A after a reflection on the x-axis.

TRUE

FALSE

The GREEN triangle is the image of RED triangle after TRANSLATION.

TRUE

FALSE

Shape T is the image of Shape S after a single transformation. State the name of the transformation.

Reflection

Rotation

Translation

Dilation

What type of transformation occurs between the blue and green images?

Translation

Reflection

Rotation

Transformation

What type of transformation occurs between the blue and purple images?

Translation

Reflection

Rotation

Transformation

10.

What type of transformation occurs between the blue and red images?

Translation

Reflection

Rotation

Transformation

11.

Above is shown a reflection from the blue to red images. $\angle E\ \rightarrow$ __________

$\angle A$

$\angle C$

$\angle G$

$\angle B$

12.

Above is shown a reflection from the blue to red images. $\overline{AB}\ \rightarrow$ ________

$\overline{GF}$

$\overline{FG}$

$\overline{FE}$

$\overline{EF}$

13.

An example of a translation is from the ____________________

blue image to the yellow image

blue image to the green image

blue image to the red image

14.

Which answer represents a reflection across the x-axis, using the algebraic rule (x,y) --> (x, -y)?

15.

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

90^o clockwise rotation

90^o counter clockwise rotation

Reflection across the y-axis

Reflection across the x-axis

16.

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

Translation

Reflection across the x-axis

Reflection across the y-axis

90^o counter clockwise rotation

17.

Which rule would result in a reflection in the x-axis?

(x, y) → (2x, 2y)

x, y) → (x + 4, y + 4)

(x, y) → (y, -x)

(x, y) → (x, -y)

18.

What type of transformation is quadrilateral PQRS?

Translation 4 units right

Rotation around the origin

Reflection over the x-axis

Reflection over the y-axis

19.

Reflect Point C over the y-axis:

(-3, 2)

(3,2)

(-2,3)

(3,0)

20.

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

y-coordinate

x-coordinate

21.

When (3,-2) is reflected across the x-axis the resulting image point is:

(-3,2)

(-3,-2)

(3,2)

(6,-4)

22.

Reflect (3,5) over the y-axis.

(2,2)

(3,-5)

(-3,-5)

(-3,5)

23.

Which answer shows a reflection across the y-axis?

24.

Identify the transformation.

Reflection across y axis

Reflection across x-axis

180 Rotation

Translation 2 units down

25.

Which answers are showing a reflection?

a and c

b and c

c and d

a and d

26.

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

(4, 1))

(-1, -4)

(1, -4)

(1, 4)

27.

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

y-axis

x-axis

28.

What is the algebraic representation of translating a figure 3 units left and 5 units down?

(x+5, y-3)

(x-5, y+3)

(x-3, y+5)

(x-3, y-5)

29.

What is the algebraic representation of translating a figure 4 units down?

(x-4, y-4)

(x, y-4)

(x-4, y)

(x+4, y+4)

30.

When translating a figure on a coordinate plane, which coordinate is affected by movement up and down?

The x-coordinate

The y-coordinate

Neither

31.

When translating a figure on a coordinate plane, which coordinate is affected by movement left and right?

The x-coordinate

The y-coordinate

Neither

32.

Describe the translation of Point A (3, -8) to A'(-4, -5).

(x-4, y-5)

(x+7, y-3)

(x-7, y+3)

(x-3, y+7)

33.

What is the algebraic representation for reflecting a figure over the x-axis?

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

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

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

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

34.

What is the algebraic representation for reflecting a figure over the y-axis?

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

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

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

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

35.

Which point shows a reflection of point X(9, -2) over the x-axis?

(-2, 9)

(9, -2)

(9, 2)

(-9, -2)

36.

Which point shows a reflection of point Y(-5, -7) over the y-axis?

(5, -7)

(-5, -7)

(5, 7)

37.

Which point is the image of point B(-2, 4) reflected over the x-axis?

(2, 4)

(2, -4)

(-2, -4)

(-2, 4)

38.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

Translated 5 units down and 5 units to the right

Translated 5 units down and 1 to the right

Translated 8 units down and 5 units to the right

Translated 5 units down and 4 units to the right

39.

Where would A' be if you translated A 3 units to the right and 4 units down?

(-4, 4)

(-1, 0)

(0, -1)

40.

How do you represent a translation Algebraically?

(-y, -x)

(x + a, y + b)

(-x , -y)

(ax, by)

41.

Component Form

<-3, -7>

<3, -7>

<-3, 7>

<7, 3>

42.

The original figure prior to a transformation.

Pre-image

Image

43.

Find A', the image of A(3, 5), after a translation with vector <-7, 4>.

(10, 1)

(-4, 9)

(-10, -1)

(4, -9)

44.

What are the coordinates of R', the image of R(-1, 4), after a translation of 2 units right and 3 units down?

(-3, 1)

(3, 7)

(-1, 7)

(1, 1)

45.

Describe the transformations that map ABC onto A"B"C"

translate 5 up and 1 left then reflect over y

translate 5 down and 1 left, then reflect over y

reflect over y=x then translate left 8

reflect over x then rotate 90 clockwise

46.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? $\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)$ then reflected over the $y-axis?$

$P'\left(-4,\ 1\right)$

$P'\left(-4,\ -1\right)$

$P'\left(1,\ -4\right)$

$P'\left(-1,\ -4\right)$

47.

Find the image of A( -3, 5) after translating (x,y) --> (x , y-4) then reflecting across the y-axis

(3,1)

(3, -1)

(-1, 5)

(-1, 3)

48.

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

Reflect over the x axis

Reflect over the y-axis

Slide down 1

slide left 1

49.

What does this transformation say to do?
(x, y) -----> (x, y +4)

slide down 4

slide up 4

slide right 4

slide left 4

50.

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

(x, y) → (2x, 3y)

(x, y) → (x - 2, y + 3)

(x, y) → (-x, -y)

(x, y) → (x + 2, y - 3)

51.

Write the rule for this translation:
Slide 3 up and 2 right

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

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

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

52.

If an image were reflected over the x-axis from quadrant 1 to quadrant 4, what would you need to do to reflect it to quadrant 3?

Translate it two units to the right

Rotate 20 degrees counterclockwise

Reflect it over the x-axis

Reflect it over the y-axis

100 %

Reflections and Translations

Total questions: 52

Worksheet time: 2hrs 56mins

Similar Resources on Wayground