Free Printable Transformations of Geometric Figures

Worksheets

Transformations of Geometric Figures

Total questions: 55

Worksheet time: 14hrs 45mins

Name

Class

Date

A turn is also called a ___________.

Translation

Reflection

Rotation

Transformation

What is a translation?

When you turn an object around a point.

When you slide an object from one place to another.

When you flip or mirror an object across a line.

When you resize an object.

What is a reflection?

When you turn an object around a point.

When you slide an object form one place to another.

When you flip or mirror an object across a line.

When you resize an object.

Congruent geometric figures have the:

Same size

Sides Equal

Same Size and Same Shape

Angles Equal

Identify the transformation from C to D.

90^o Counter Clockwise Rotation

180^o Rotation

270^o Counter clockwise Rotation

360^o Rotation

Identify the transformation.

Reflection across y axis

Reflection across x-axis

180 Rotation

Translation 2 units down

Identify the transformation.

Reflection across y-axis

90 Rotation counter clockwise

Translation 5 units left, 1 unit up.

Translation 5 units right, 1 unit down

Write a rule for the translation.

(x -1, y + 2)

(x -2, y + 1)

(x +2, y - 1)

(x +1, y - 2)

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

(5,2)

(-5,-2)

(-5,2)

(5,-2)

10.

Which of the following describes the sequence of transformations shown?

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

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

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

Translate up and then rotate 90 degrees about the origin.

11.

Name the transformation.

Translation

Reflection

Rotation

12.

Describe the Transformation

Translation

Rotation

Reflection

13.

Which answer shows a reflection across the y-axis?

14.

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

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

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

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

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

15.

Determine the degrees of rotation from each petal.

20°

72°

45°

60°

16.

Which of the following is the algebraic representation for a dilation?

(x, y) → (x, 3y)

(x, y) → (3x, 3y)

(x, y) → (x, y - 3)

(x, y) → (.5x, .4y)

17.

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

(x,y) -> (0.5x, 0.5y)

(x,y) -> ( $\frac{1}{3}$ x, $\frac{1}{3}$ y)

(x,y) -> (0.4x, 0.4y)

18.

When a shape is made smaller or larger, the shape has been _________.

reflected

rotated

dilated

translated

19.

Which of the following shows a dilation?

20.

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

21.

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

6 down

6 down, 1 right

6 down, 3 left

8 down, 1 right

22.

How is the blue triangle rotated to the red triangle?

90 clockwise

90 counterclockwise

180 clockwise

180 counterclockwise

23.

What is this picture an example of?

Translation

Reflection

Rotation

Dilation

24.

Identify the transformation performed

Translation

Reflection

Rotation

Dilation

25.

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?

26.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

27.

Determine where X' would be if you translated the figure -3 units to the horizontally and -9 units vertically.

(-4, 4)

(-10, 2)

(-4, -5)

(-1, 5)

28.

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

29.

When you dilate the figure by a scale factor of 3, what is the location of B'?

(12,0)

(12,12)

(4,3)

(0,12)

30.

Rotating a pre-image _____degrees will place it back to its original position.

180

270

360

31.

Shapes that are identical in size, shape and measure are...

Congruent

Image

Angles

Vertices

32.

Congruent geometric figures have the:

Same size

Sides Equal

Same Size and Same Shape

Angles Equal

33.

A dilation is

Has a central point that stays fixed and everything else moves around that point

a transformation that changes the size of a figure

a transformation in which the preimage is flipped across a line

a function that moves an object a certain distance. The object is not altered in any other way.

34.

A rotation

Has a central point that stays fixed and everything else moves around that point

a transformation that changes the size of a figure

a transformation in which the preimage is flipped across a line

a function that moves an object a certain distance. The object is not altered in any other way.

35.

A reflection

Has a central point that stays fixed and everything else moves around that point

a transformation that changes the size of a figure

a transformation in which the preimage is flipped across a line

a function that moves an object a certain distance. The object is not altered in any other way.

36.

A translation

Has a central point that stays fixed and everything else moves around that point

a transformation that changes the size of a figure

a transformation in which the preimage is flipped across a line

a function that moves an object a certain distance. The object is not altered in any other way.

37.

Which shows point (3, 6) rotated CLOCKWISE by 90 degrees?

(6, -3)

(-6, 3)

(-3, -6)

((3, 6)

38.

Which shows point (3, 6) rotated COUNTER-CLOCKWISE by 90 degrees?

(6, -3)

(-6, 3)

(-3, -6)

(3, 6)

39.

Which shows point (3, 6) rotated COUNTER-CLOCKWISE by 180 degrees?

(6, -3)

(-6, 3)

(-3, -6)

((3, 6)

40.

Which shows point (4, 5) TRANSLATED by (-2, 3)

(8, 2)

(-2, 2)

(2, 8)

(-2, -8)

41.

Which shows point (4, 5) TRANSLATED by (-5, -2)

(10, 9)

(-9, -10)

(3, 1)

(-1, 3)

42.

Which rule applies to a dilation by a scale factor of 4

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

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

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

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

43.

Which transformation is the only transformation that does NOT preserve size?

Translation

Reflection

Rotation

Dilation

44.

If the scale factor is less than one, the new figure will be

an enlargement

a reduction

a scale factor

bigger

45.

If the scale factor is greater than one, the new figure will be

a reduction

an enlargement

a scale

not proportional

46.

Dilate Point B by a scale factor of 1/2

(1.5,-4)

(-1.5,1)

(-1,-1.5)

(-2,-2)

47.

Dilate Point B by a scale factor of 3:

(12,0)

(12,12)

(4,3)

(0,12)

48.

Choose the correct scale factor:

1/3

1/2

49.

If a dilation produces a congruent figure, then the scale factor was equal to _____.

1/2

50.

Sides in similar figures must be proportional.

True

False

51.

The pair of figures is similar. Find the missing side.

x = 1

x = 3

x = 9

x = 5

52.

The pair of figures is similar. Find the missing side.

x = 12

x = 3

x = 40

x = 4

53.

The pair of figures is similar. Find the missing side.

x = 20

x = 12

x = 5

x = 4

54.

Solve for X.

2 ft

3 ft

4 ft

6 ft

55.

Find the height of the person using what you know about similar triangles.

4 ft

6.25 ft

1.25 ft

5.75 ft

100 %

Transformations of Geometric Figures

Total questions: 55

Worksheet time: 14hrs 45mins

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