1. Chapter 9: Transformations
9.1
Translations

2. Review Coordinate Points How do I graph (-3,4)??
Which axis is x, which is y?

3. Transformations
change in position, shape or size of a geometric figure
uses coordinate plane geometry

4. Vocab pre-image: original figure
image: the resulting figure after a transformation
isometry: transformation in which the preimage and image are congruent

5. Example 1
Is this transformation an isometry?

6. Example 1
Is this transformation an isometry?

7. Example 1
Is this transformation an isometry?

8. Notation
Transformations are named as follows:
ΔABC → ΔA’B’C’

9. Example 2 In the diagram, E’F’G’H’ is an image of EFGH.
Name the images of angle F and angle H.
List all pairs of corresponding sides.

10. Translations called a “slide”
maps all points of a figure the same distance in the same direction
written as: (2,3) → (x + 4, y – 2)

11. Example 3
Find the image of ΔXYZ under the translation (x,y)→(x – 2, y – 5).

12. Example 3a
Find the image of ΔXYZ under the translation (x,y)→(x – 4, y + 1).

13. Example 4
Write a rule to describe the translation PQRS→P’Q’R’S’

14. Example 4a
The translation image of ΔLMN with vertices L(-6,-1), M(-4,-3), and N(-1,-1) is translated to L’(1,-2), M’(3,-4), and N’(6,-2). Write the rule to describe the translation.

15. Compositions combination of two or more transformations
each transformation is performed on the image of the preceding transformation

16. Example 5
Yolanda is visiting San Francisco. From her hotel near Union Square, she walks 4 blocks east and 4 blocks north to the Wells Fargo History Museum to see a stagecoach and relics of the Gold Rush. Then she walks 5 blocks west and 3 blocks north to the Cable Car Barn Museum. Now how many blocks is she from her hotel?

17. Homework
p. 473
7-18, 20, 22
(you need graph paper!!)