1. Transformation Notes
6.07

2. Transformations
Movements of figures on a coordinate plane

3. Transformations Three movements that preserve congruency Translations
Reflections
Rotations

4. Transformations
The original figure is called the preimage and the transformed figure is called the image
Use prime notation to identify the image

5. Translation A “slide” of a figure horizontally or vertically
Needs direction and measure
Ex) 5 units to the right and 2 units down
mapping = (x + h, y + k)

6. Reflection A “flip” over a line on the graph
The line of reflection can be any possible line
We focused on over the x-axis or over the y-axis
mapping = (-x, y) OR (x, -y)

7. Rotation A “turn” around any point on the graph
Needs direction and measure
90ᵒ, 180ᵒ, 270ᵒ
Clockwise or counter-clockwise

8. Rotation Steps: 1) Determine the measure and direction of the turn
Draw the guide arrow
2) Color in the point of rotation
3) Write the slope directions to get from the point of rotation to each vertex
4) Turn your paper to get the guide arrow into the correct position
5) Use the slope directions to plot the points for the image and connect them

9. Practice! Complete the practice problems on the back with your team.
Remember, quiz tomorrow!