Math Cim Assessment Practice Test

Block 3 Review ~ Transformations

Name______Period______Date______

1. The point (3, 8) is reflected over the

y-axis. What are the new coordinates?

A. (3, −8)

B. (–8, –3)

C. (−3, −8)

D. (–3, 8)

MUD has coordinates M(8, 1), U(1, 2) and D(4, −3). It is reflected over the x-axis. For numbers 2a – 2c, determine whether each statement is true or false.

2a. The coordinates of U’

are (1, −2).

2b. The transformation rule

for this translation is

2c. The coordinates of D’

are (−4, 3).

3. Which of the following describes the translation shown in the graph below?

A. Left 2 units

Up 3 units

B. Right 2 units

Down 3 units

C. Right 3 units

Down 2 units

D. Left 3 units

Up 2 units

4. Which of the following is a transformation rule that translates a figure 2 units right and 6 units up?

5. The point W(−4, 9) is rotated 270˚ clockwise about the origin. What are the coordinates of W’?

A. W’(−4, −9)

B. W’(−9, −4)

C. W’(4, −9)

D. W’(9, 4)

6. Which of the following transformation rules represent rotations centered around the origin? Circle all that apply.

A. (x, −y)B. (y, −x)

C. (−x, y)D. (x −1, y −1)

E. (y, x)F. (−x, −y)

7. Which transformation changes the size of a figure but does not change its shape?

A. Translation

B. Rotation

C. Reflection

D. Dilation

8. A pre-image has coordinates N(2, 3),

U(5, −1) and M(4, 1). It is dilated using a scale factor of 0.5 centered at the origin. What of the following points are in the image? Circle all that apply.

A. U’(2.5, −0.5)B. N’(2, 6)

C. N’(1, 1.5)D. M’(2, 0.5)

E. M’(8, 2)F. U’(4.5, −1.5)

9. Which of the following is NOT a possible transformation rule for the pre-image and image R(5, −10) and R’(1, −2)?

A. Dilation with a scale factor of .

B. Translation

C Dilation with a scale factor of 5.

D. Translation left 4 units and up 8 units.

For numbers 10a – 10c, determine whether each statement is true or false using the transformation rule .

10a. This transformation

rule represents a dilation.

10b. This transformation

forms an image that

is congruent to its

pre-image.

10c. The image will be

smaller than the

pre-image.

11. Which series of transformations will ALWAYS form an image that is congruent to its pre-image? Circle all that apply.

A. Reflection, Translation, Reflection

B. Translation, Reflection, Dilation

C. Rotation, Dilation, Rotation

D. Reflection, Translation, Rotation

E. Dilation, Rotation, Translation

12. The point K(−3, −4) is transformed using the rule and then reflected over the x-axis. What are the coordinates of K’?

A. K’(–5, 1)

B. K’(–1, −1)

C. K’(5, 7)

D. K’(–1, 7)

13. Kiera proves that two figures are congruent using transformations. Which of the following might she have done to prove this?

A. Mapped one figure onto the other using

translations and reflections.

B. Mapped one figure onto the other using a

series of transformations including a

dilation with a scale factor other than 1.

C. Mapped one figure onto the other using a

dilation with a scale factor of 4.

D. She cannot prove two figures are

congruent with only transformations.

Answer Key:

1. D2a. TRUE

2b. FALSE2c. FALSE

3. B4. A

5. D6. B, F

7. D8. A, C, D

9. C10a. TRUE

10b. FALSE10c. FALSE

11. A, D12. D

13. A