1. Graphing

2. New Vocabulary
Transformation
Reflection
Translation

3. Transformation
Changing a shape using • Turn • Flip • Slide, or • Resize

4. Reflection A reflection is a flip over a line
When we reflect over the x-axis we change each (x,y) into (x,−y)
When we reflect over the y-axis we change each (x,y) into (−x,y)
Reflected Points are indicated with ‘

5. Reflection Over the X-Axis

6. Reflection Over the Y-Axis

7. Practice Reflect the following points over the X-axis: (1,2)
Reflect the following points over the Y-axis
(-3,-2)

8. Reflecting Shapes Reflecting each point that makes up the shape
Must keep the name of each point
The reflected points are indicated with ‘ (A A’)

9. Reflecting Shapes

10. Practice
Please work on the following handouts!

11. Translation "Sliding": moving a shape without rotating or flipping it.
The shape and point still looks exactly the same, just in a different place.

12. Translation
Three units to the right and down two units

13. Practice Translate the point: 3 units to the left and 2 units up (3,5)
(-2, 1)
(-4,4)
Translate the point: 1 units to the right and 3 units down
(-2,2)
(3,1)
(5,4)

14. Translating Shapes Follow the “rule” for each point
Connect the points to recreate the shape
Mark each translated point with ‘

15. Translating Shapes

16. Practice
Work on the following handouts!

17. Do Now: Provide an example of a reflection over the x-axis
Provide an example of a reflection over the y-axis
Provide an example of a translation