1. Warm-up Test Review

2. Unit 7 Transformations

3. Day 1 - TRANSFORMATIONS
What does it mean to have a transformation of something?
Name the types of transformations:
The original figure is called the _____________ and the resulting 
figure is called the _________________.

4. Types of Transformations:
Translations:
Reflections:
Rotation:
Dilation:

5. Types of Transformations:
pre-image

6. Types of Transformations:
image
pre-image
Translation

7. Types of Transformations:
Rotation
pre-image
image

8. Types of Transformations:
pre-image
image
Reflection

9. Types of Transformations:
image
pre-image
Dilation (enlargement)

10. Types of Transformations:
image
pre-image
Dilation (reduction)

11. What type of transformation are the following?1. 2. 3. 4.

12. 1. Translate ABC according to the rule T(-3, 2).
Translations
1. Translate ABC according to the rule T(-3, 2). B A C

13. Translate ABC T(x + 4, y - 2) A B C

14. P: (-3, -4) Q: (0, 2). Plot and translate T(5, 0).

15. ΔMNO has vertices M: (-3, 7), N: (4, 0), O: (5, -3)
ΔMNO has vertices M: (-3, 7), N: (4, 0), O: (5, -3). State the new coordinates for each point under the translation
(x, y) (x - 3, y - 4).
has vertices R: (9, -6), S: (6, 5). State the new coordinates for each point under the translation right 3 units and down 2 units.

16. Translate (x + 2, y - 4) R M CLASS WORK A A B
Translate 3 right and up 4 R A M A B

17. P' N' E' A' T' P N E A T

18. P S M I P' S' M' I'

19. In a translation, the image is:
congruent and
similar
similar but
not congruent
to the pre-image
In a reflection, the image is:
congruent and
similar
similar but
not congruent
to the pre-image

20. In a dilation, the image is:
In a rotation, the image is:
congruent and
similar
similar but
not congruent
to the pre-image
In a dilation, the image is:
congruent and
similar
similar but
not congruent
to the pre-image

21. On graph paper, draw a pair of xy axes
On graph paper, draw a pair of xy axes. Plot A(-1 , 1), B(-5 , 5) and C(-5 , 1). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot A'(2 , -4) , B'(-2 , 0) and
C'(-2 , -4). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your answer 
choice: A.
Translation B.
Rotation C.
Reflection D.
Dilation

22. On graph paper, draw a new pair of xy axes
On graph paper, draw a new pair of xy axes. 
Plot D(1 , -1), E(5 , -5) and F(1 , -5). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot D'(-1 , -1) , E'(-5 , -5) and F'(-5 , -1). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your 
answer choice: A.
Translation B.
Rotation C.
Reflection D.
Dilation

23. On graph paper, draw a new pair of xy axes
On graph paper, draw a new pair of xy axes. 
Plot G(1 , 1), H(3 , 1) and J(6 , 4). Connect to form a triangle ; this will be the pre-image. 
Then, on the same axes, plot G'(2 , 2) ,
H'(6 , 2) and J'(12 , 8). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your 
answer choice: A.
Translation B.
Rotation C.
Reflection D.
Dilation

24. On graph paper, draw a new pair of xy axes
On graph paper, draw a new pair of xy axes. 
Plot K(2 , 3), L(5 , 1) and M(6 , 5). Connect to form a triangle ; this will be the pre-image. Then, on the same axes, plot K'(-2 , 3) , L'(-5 , 1) and M'(-6 , 5). Connect to form a second triangle ; this will be the image. What type of transformation results? Click your 
answer choice: A.
Translation B.
Rotation C.
Reflection D.
Dilation

25. A transformation is described as
(x , y) ⇒(x + 2 , y - 3). What type of 
transformation is this?: A
translation B
rotation C
dilation D
reflection

26. A transformation is described as
(x , y) ⇒(-x, y). What type of 
transformation is this?: A
translation B
rotation C
dilation D
reflection

27. A transformation is described as
(x , y) ⇒(2x, 2y). What type of 
transformation is this?: A
translation B
rotation C
dilation D
reflection

28. A transformation is described as
(x , y) ⇒(y, -x). What type of 
transformation is this?: A
translation B
rotation C
dilation D
reflection

29. a. 4 units to the left, 2 units down:
Use coordinate notation to describe each translation:
a. 4 units to the left, 2 units down:
T(x , y) ⇒(x - 4, y - 2)
b. 2 units to the right, 1 unit down:
T(x , y) ⇒(x + 2, y - 1)