1. Chapter 9.1 Translations

2. Vocabulary
Transformation= change in its position, shape, or size. Change in appearance. 3 main transformations are rotation, reflection, and translation
Example:
Translation = Slide!!!
Rotation = (turn!!)
Reflection = Flips!!!

3. Vocabulary Preimage= original figure Image= Resulting figure
Example: You took a picture on a digital camera and want to put as the wallpaper on the computer (preimage) and realized the dimension is 800 x 600 but you want to make is fill the screen 1280 x 1024 so you stretch/expand the picture to fill the screen. The picture that’s stretched/expanded is the (image). This is called resizing.

4. Relating to transformation
(x , y) (x’ , y’) This reads (x, y) maps onto (x prime, y prime)
(x , y) (x’ , y’)
Preimage
Image
Original
Resultant

5. Vocabulary
Isometry = transformation in which the preimage and image are congruent
Before
After
transformation
Preimage
Image

6. Vocabulary
Rigid motion = motion that preserves distance and angles

7. Vocabulary
Translation (slide) = isometry that maps all points of a figure the same distance in the same direction
Example:
Translation = slide!!!!

8. Vocabulary Composition = combination of two or more transformations
Example: In a game of chess, the Knight’s movement is a composition

9. Example #1
(x, y) (x-2, y-5)
Original coordinates Resultant Coordinates
X(2,1)
Y(3,3)
Z(-1,3)

10. Example #2 Does the transformation appear to be an isometry? Preimage

11. Example #3 Original coordinates Resultant Coordinates
X(1, -2) X’(8, -3)
Y(3, -4) Y’(10, -5)
Z(6, -2) Z’(13, -3)
Write a rule to describe each translation
(X, Y)  ( , )

12. Classwork/Homework
You will be given a vocabulary word. Your work is to find the definition (use the book, internet) and give an example (draw something related, example problem, etc)
Pgs #1-3, 7-14, 20-22