1. 9.1 Translations

2. Before we get started, here are some terms.
Pardekooper

3. *A transformation is a change in a figure’s position, shape, or size.
Transformations
*A transformation is a change in a figure’s position, shape, or size.
Pardekooper

4. Transformations *The resulting figure (Bumblebee) is an image.
The original image (the Camaro) is called the preimage.
Pardekooper

5. *An isometry is a transformation in which the preimage and the image are congruent.
Pardekooper

6. Do the following transformations appear to be an isometry?
preimage
image
NO, they are different sizes
Pardekooper

7. Do the following transformations appear to be an isometry?
preimage
image
Yes, they are just flipped.
Pardekooper

8. A certain type of Transformation
Translation

9. Translation
(or slide)
When an isometry maps all points of a figure the same distance in the same direction.

10. Translation
(or slide)
It is a transformation without changing the size or shape, only a change in position

11. Translation Translation of the black square by:
4 units right and 2 units down
(x, y)  (x+4, y-2)

12. Lets try the following:
Find the image of XYZ under the translation
(x,y)(x-2,y-5)
X(2,1)
(2-2,1-5)
=X’(0,-4)
Y(3,3)
(3-2,3-5)
=Y’(1,-2)
Z(-1,3)
(-1-2,3-5)
=Z’(-3,-2)

13. 9.2 Reflections
Pardekooper

14. A reflections is simply an isometry flipped
A reflections is simply an isometry flipped. One is the mirror image of the other.
Pardekooper

15. Here comes the assignment

16. Assignment
Workbook
Page 417 all