1. Transformations

2. There are four types –Translations –Reflections –Rotation –Dilation

3. Vocabulary Congruent – Size and shape are exactly the same Similar – Shape is the same, but size is different. Proportional – Lengths change at the same rate or scale.

4. Translation Size and shape do not change. Only the location –SLIDE

5. Notation When transforming a shape, each new point is marked with ‘ –A’ means “A prime” –B’ means “B prime”

6. What did we do to it to get to the new location? A A’ Right 2, Up 5

7. What did we do to it to get to the new location? A A’ Left 4, Down 4

8. Translating Shapes When translating shapes, translate each point.

9. Which figure did we start with?What did we do to it to get to the new location? Right 8, Up 3

11. Which coordinate controls left and right movement? (x, ) You can describe left and right movement as addition or subtraction to x. Example: a translation of 4 units right could be described as (x + 4, y)

12. The second coordinate (y) controls up and down movement. (, y) You can describe up and down movement as addition or subtraction to y. Example: a translation of 4 units up could be described as (x, y + 4)

13. Writing New Coordinates Moving left or right affects x right is + Left is – Moving up or down affects y up is + down is –

14. Describe the translation in terms of x and y

15. Example The point moves right 3 up 4 from the initial point (2, 3) 23

19. Describe the translation (3, 5) (6, 5) (3, 8) (5, 9)’ (8, 9)’ (5, 12)’ (x + 2, y + 4)

20. Describe the translation (-7, 2) (-9, -3) (-5, 6) (-2, -1)’ (-4, 0)’ (0, 3)’

21. Closure What is a good word to describe translation?

22. Closure Is the resulting shape of a translation similar or congruent?

23. Closure: Describe the translation in terms of (x, y)