1. Unit 5 Transformations Review
Created by Educational Technology Network

2. Dilations & Similarity
Translations
Reflections
Rotations
Dilations & Similarity
Compositions 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

3. Topic 1 – 10 Points QUESTION: ANSWER:
Write the translation rule for the following:
7 to the left and 3 up
ANSWER:
(x, y)(x – 7, y + 3)

4. Topic 1 – 20 Points QUESTION: ANSWER:
Describe the translation using a translation rule
ANSWER:
(x, y)(x + 4, y – 3)

5. Topic 1 – 30 Points QUESTION: ANSWER:
∆ABC has vertices at A(0, 5), B(4, 4), and C(1, 0). Find the coordinates of ∆ABC for the translation (x,y) (x-4, y+6)
ANSWER:
A’(-4,11) B’(0,10) C’(-5,6)

6. Topic 1 – 40 Points QUESTION: ANSWER:
Given the point M (8, -15) and the point M’ (4, -6), write the translation rule that matches the transformation.
ANSWER:
(x, y)(x – 4, y + 9)

7. Topic 1 – 50 Points QUESTION: ANSWER:
Find MATH for a translation (x, y)(x - 1, y +2 )
ANSWER:
M’(-3, 4), A’(2, 2), T’(-1, -2), H’(-5, 0)

8. Topic 2 – 10 Points QUESTION: ANSWER:
What is the image of (6, 6) after a reflection across the y-axis
ANSWER:
(6,6)

9. Topic 2 – 20 Points QUESTION: ANSWER:
What is the image of (5, -4) after a reflection across the line y = x?
ANSWER:
(-4, 5)

10. Topic 2 – 30 Points QUESTION: ANSWER:
What is the image of (2, 19) after a reflection across the x-axis
ANSWER:
(-2, -19)

11. Topic 2 – 40 Points QUESTION: ANSWER:
Find the image when C is reflected over the line y = -1.
ANSWER:
(-2, -4)

12. Topic 2 – 50 Points QUESTION: ANSWER:
Find MATH for a reflection across the x-axis
ANSWER:
M’(-2, -2), A’(3, 0), T’(0, 4), H’(-4, 2)

13. Topic 3 – 10 Points QUESTION:
Find the image when F (9, -3) is rotated 90˚ clockwise about the origin.
ANSWER:
(-3, -9)

14. Topic 3 – 20 Points QUESTION:
Find the image when F (9, -3) is rotated 90˚ counterclockwise about the origin.
ANSWER:
(3, 9)

15. Topic 3 – 30 Points QUESTION: ANSWER: 240˚
What is the angle that rotates S to A? (clockwise)
ANSWER:
240˚

16. Topic 3 – 40 Points QUESTION: ANSWER:
Point M(4, -7) is a vertex of a rectangle with vertices
M A T H. What are the coordinates of M’ after it is rotated 180 degrees?
ANSWER:
(-4, 7)

17. Topic 3 – 50 Points QUESTION: ANSWER:
Find MATH for a rotation of 90 Counterclockwise
ANSWER:
M’(-2, -2), A’(0, 3), T’(4, 0), H’(2, -4)

18. Topic 4 – 10 Points QUESTION: ANSWER: Enlargement SF = 3
Is this an enlargement or a reduction? What is the scale factor? (dotted is the image )
ANSWER:
Enlargement
SF = 3

19. Topic 4 – 20 Points QUESTION: ANSWER:
Are the two figures similar? If so, write a similarity statement and the scale factor.
ANSWER:
XYZ~PRQ SF = .6 or 2/3 or 3/2 or 1.5

20. Topic 4 – 30 Points
QUESTION:
Solve for x.
ANSWER:
x = 6

21. Topic 4 – 40 Points QUESTION: ANSWER:
Find MATH for a Dilation w/ center(0, 0)and scale factor 2
ANSWER:
M’(-4, 4), A’(6, 0), T’(0, -8), H’(-8, -4)

22. Topic 4 – 50 Points QUESTION: ANSWER: Units…
You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building?
ANSWER:
288in = 24ft
Units…

23. Topic 5 – 10 Points QUESTION: ANSWER:
Find MATH for a glide reflection with translation (x, y) (x, y +2) and reflection across the y-axis
ANSWER:
M’(2, 4), A’(-3, 2), T’(0, -2), H’(4, 0)

24. Topic 5 – 20 Points QUESTION: ANSWER:
For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:
Translate 2 units right and 5 units down
Rotate the line segment 90 degrees counterclockwise
ANSWER:
Y”(-2, 0) and Z”(-7, 8)

25. Topic 5 – 30 Points QUESTION: ANSWER:
For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:
Rotate 180 degrees
Reflect over the y-axis
ANSWER:
Y”(-2, -7) and Z”(6, -12)

26. Topic 5 – 40 Points QUESTION: ANSWER:
For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition:
Translate 6 units left and 4 units up
Dilate using a scale factor of 3
ANSWER:
Y”(-24, 33) and Z”(0, 48)

27. Topic 5 – 50 Points QUESTION: ANSWER:
For Y(-4, 8) and Z(16, 28), Find the FINAL coordinates after the following composition:
Dilate using a scale factor of (0.25)
Rotate 90 degrees clockwise
ANSWER:
Y”(2, 1) and Z”(7, -4)

28. BONUS!! 6