1. Unit 1: Transformations Lesson 3: Rotations
Objective: To identify, represent, and draw the rotations of geometric figures in the coordinate plane.
rotation – a transformation where a figure “turns” around a point called the center of rotation.

2. Think of the coordinate plane as if it were a circle.
Degrees we can rotate a figure around the plane: K L H

3. (x, y) ⟶( , ) Describe the rotation of the pre-image to the image.
Degree? Direction? Center?
What are the coordinates for the pre-image and image?
H ( , ) ⟶ H’ ( , )
L ( , ) ⟶ L’ ( , )
K ( , ) ⟶ K’ ( , )
What would be the function rule?
(x, y) ⟶( , ) K L H K' L' H'

4. (x, y) ⟶( , ) Describe the rotation of the pre-image to the image.
Degree? Direction? Center?
What are the coordinates for the pre-image and image?
H ( -1 , 1 ) ⟶ H’ ( , )
L ( -2 , 4 ) ⟶ L’ ( , )
K ( -6 , 3 ) ⟶ K’ ( , )
What would be the function rule?
(x, y) ⟶( , ) K L H K' L' H'

5. (x, y) ⟶( , ) Describe the rotation of the pre-image to the image.
Degree? Direction? Center?
What are the coordinates for the pre-image and image?
H ( -1 , 1 ) ⟶ H’ ( , )
L ( -2 , 4 ) ⟶ L’ ( , )
K ( -6 , 3 ) ⟶ K’ ( , )
What would be the function rule?
(x, y) ⟶( , ) K L H K' L' H'

6. (x, y) ⟶( , ) Describe the rotation of the pre-image to the image.
Degree? Direction? Center?
What are the coordinates for the pre-image and image?
H ( -1 , 1 ) ⟶ H’ ( , )
L ( -2 , 4 ) ⟶ L’ ( , )
K ( -6 , 3 ) ⟶ K’ ( , )
What would be the function rule?
(x, y) ⟶( , ) K L H K' L' H'

7. Rotate triangle ABC over.... a.) 90CC e.) 90C b.) 180CC f.) 180C
c.) 270CC
d.) 360C B A C

8. Assignment
Graph the figure with coordinates
A (0, 6), B(6, 6), and C(7, 3). Label each rotation, using this figure as the pre-image each time. CC C CC C CC