1. Properties or Rules of Transformations

2. Translation
What do you Notice about this Translation going From blue to red? How are the Ordered pairs Affected?

3. Reflection
3 types Over the x axis Over the y axis Over the line y=x

4. Example
Given the following picture reflect over the y axis and the write the coordinates

5. This is reflection along the line y=x, notice the location of the original points and how they are different in the new image, x and y are reversed
Point (-1,2)
Point (-4,1)
Point (-3,5)
Point (2,-1)
Point (1,-4)
Point (5,-3)

6. Rotation about Origin
Rotate a figure 180 degrees about the origin what do you notice Rotate a figure 90 degrees clockwise or counter clockwise what do you notice?

7. Old
New X Y X’ Y’ 2 3 -2 -3 5 1 -5 -1 4 6 -4 -6

8. Old
New X Y X’ Y’ 2 3 -2 5 1 -5 4 6 -4