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Worksheets

Transformations Translation Rotation Dilation

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Describe the similarity transformation that maps to (dilations have a center at the origin).

a)

a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

b)

a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

c)

Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

d)

Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

2.

Which transformation(s) create(s) similar figures?

a)

Dilation

b)

Translation, Reflection, and Rotation

c)

Translation and Reflection

d)

Reflection and Rotation

3.

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

a)

Translation 3 units up

b)

Translation 3 units down

c)

Dilation by a scale factor of 3

d)

Dilation by a scale factor of 1/3

4.

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

a)

A dilation with scale factor 1

b)

A dilation with scale factor 2

c)

A dilation with scale factor 3

d)

A dilation with scale factor 4

5.

Two figures are _______ if the second can be obtained from the first by a sequence of transformations or dilations.

a)

congruent

b)

similar

c)

scale

d)

corresponding

6.

Circle A has center (2, 7) and radius 2. Circle B has center (9, 1) and radius 5. Which transformations can be used to show that the two circles are similar?

a)

Translate circle A right 7 and down 6 and then dilate with scale factor 5/2 and center (9, 1)

b)

Translate circle A left 7, up 6 and then dilate with scale factor 2/5 and center (9, 1).

c)

Dilate circle A using center (2, 7) and scale factor 2/5 then translate right 7 and down 6

d)

Reflect circle A over x = 5.5 and translate up 6 units.

7.

If a figure is rotated 90 degrees clockwise about the origin and dilated by a factor of 3 the resulting image will be...

a)

similar

b)

congruent

c)

neither

d)

both

8.

Jashon performed a transformation on a triangle with pre-image coordinates D(-6,0) E(-6,3) and F(-9,9). The coordinates of the image are D'(-2,0) E'(-2,1) and F' (-3,3). He challenges his friend Steve to describe the transformation. What response is correct?

a)

The pre-image was translated 3 units to the left

b)

The pre-image was translated 3 units to the right

c)

The pre-image was dilated by a scale factor of 1/3.

d)

The pre-image was dilated by a scale factor of 3.

9.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

10.

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

11.

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

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

12.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

13.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

14.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

15.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation