1. Properties or Rules of Transformations
Objective: Students will be able to identify the rules associate with transformations and transform figures accordingly.

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

3. Translation Basic Translation (x,y) (x+3,y)
Move each point 3 units right on the x axis
Could rules for x, y or both
Add to the x moves right
Subtract from x moves left
Add to y moves up
Subtract from y moves down

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

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

6. Reflections
What do you think will happen with the x axis reflection? (x,y)  (x,-y) Reflecting about the line y=x? (x ,y)(y,x)

7. 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)

8. 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?

9. Rule
(x,y)(-x,-y)
Old
New X Y X’ Y’ 2 3 -2 -3 5 1 -5 -1 4 6 -4 -6

10. Rule
(x,y)(y,-x)
Old
New X Y X’ Y’ 2 3 -2 5 1 -5 4 6 -4

11. Coordinate Transformation
Reflect across y-axis the rule (x,y) (-x,y) Reflect across x-axis the rule (x,y)(x,-y) Reflect across y=x the rule (x,y)(y,x) Rotate about the origin 180 degrees the rule (x,y) (-x,-y) Translation about x-axis (x,y)(x+ or - #,y) Translation about y-axis (x,y)(x,y+ or - #)

12. Objective: Students will be able to identify the rules associate with transformations and transform figures accordingly. On a scale of 1 to 4 Do you feel we meet the objective for the day. If we did not meet the objective, what did we miss and how could I improve.

13. Homework Pg