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Unit 9 Transformations Test

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of the vertices. Which transformation should she use?

a)

Dilation

b)

Reflection

c)

Rotation

d)

Translation

2.

Which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure.

a)

( x, -y)

b)

(-x, y)

c)

(-x, -y)

d)

(-y, x)

3.

The coordinates above represent a triangle that was dilated. What was the scale factor used in the dilation?

a)

2/3

b)

3/2

c)

4/7

d)

5/9

4.

Which is the correct algebraic representation of the transformation displayed on the graph?

a)

(y, -x)

b)

(-y, x)

c)

(-x, y)

d)

(-x, -y)

5.

Which is NOT a true statement about the figures shown below?

a)

The image is smaller than the pre-image

b)

Triangle GHI is similar to Triangle G'H'I'

c)

The transformation shown is a dilation

d)

Segment GH is congruent to segment G'H'

6.

Ben is going to rotate a figure that is in Quadrant IV, 90 degrees counterclockwise. 

In which Quadrant will the image be? 

a)

I

b)

II

c)

III

d)

IV

7.

Luke is going to reflect point R (6,10) over the y-axis. What are the coordinates for R'?

a)

(10, 6)

b)

(-6, -10)

c)

(-6, 10)

d)

(-10, 6)

8.

The table shows the coordinates of a figure that was transformed. Which is a correct description of the transformation?

a)

Reflection over the y-axis

b)

Reflections over the x-axis

c)

Translation 5 units left and 2 units down

d)

Translation 10 units left and 4 units down

9.

Which of the following is the correct algebraic representation for a translation 8 units right and 4 units down?

a)

(x + 8, y-4)

b)

(x - 4, y + 8)

c)

(x - 8, y +4)

d)

(8x, 4y)

10.

Which is a true statement about dilations?

a)

A dilation will always enlarge a figure

b)

A dilation will always produce congruent figures

c)

A dilation will always produce a similar figure

d)

A dilation will always change the orientation of a figure

11.

Which is a true statement about the transformation shown?

a)

The graph shows a translation and the pre-image and image are congruent

b)

The graph shows a reflection and the pre-image and image are congruent

c)

The graph shows a translation and the pre-image and image are similar

d)

The graph shows a reflection and the pre-image and image are similar

12.

Which of the following algebraic representations shows a dilation that is an enlargement?

a)

(13x, 13y)\left(\frac{1}{3}x,\ \frac{1}{3}y\right)

b)

(.1x, .1y)\left(.1x,\ .1y\right)

c)

(56x, 56y)\left(\frac{5}{6}x,\ \frac{5}{6}y\right)

d)

(52x, 52y)\left(\frac{5}{2}x,\ \frac{5}{2}y\right)

13.

A triangle in Quadrant II is going to be reflected over the y-axis. Which of the following is a true statement?

a)

The image will be in Quadrant III

b)

The orientation of the figure will not change

c)

The orientation of the vertices will change

d)

The image and the pre-image will not be congruent

14.

Triangle PQR has the following coordinates: P(-9, -12) Q(-6, -13) R(-7, -4).


Where is Q' after a translation 9 units right and 11 units up?

a)

(4, 8)

b)

(3,- 2)

c)

(6, 9)

d)

(1, 2)

15.

The pre-image in Quadrant II was transformed, and the image is in Quadrant III. Which could not have been the transformation?

a)

A rotation 90 degrees clockwise

b)

A reflection over the x-axis

c)

A translation down

d)

A rotation 270 degrees clockwise

16.

Find the scale factor that was used in the dilation shown.

a)

7/8

b)

4/5

c)

3/6

d)

3/2

17.

Which transformation would create an image and a pre-image that are similar figures?

a)

A dilation with a scale factor of 1

b)

A translation to the right and up

c)

A dilation with a scale factor of 2

d)

A reflection over the x-axis

18.

Which correctly describes the two transformations that were used to create the image on the graph?

a)

Reflection over the y-axis and a rotation 90 degrees counterclockwise

b)

Translations 10 units right and a reflection over the x-axis

c)

Rotation 90 degrees clockwise and a reflection over the x-axis

d)

Reflection over the x-axis and a translation 6 units right

19.

Translate the figure 3 units right and 7 units down. Select THREE new coordinates for A', B', and C'?

a)

( -4, -5)

b)

(2, 8)

c)

( 0 , -1)

d)

( 1, - 5)

20.

Rotate the figure shown 180 degrees clockwise. 

Select THREE new coordinates for Triangle K'L'J'. 

a)

(7, 9)

b)

( 6, 7)

c)

( 3, 7)

d)

( 6, 2)