1. I can draw rotations in the coordinate plane.

2. If the images to the right describe a Rotation, in your own words, define rotation:

3. Vocabulary! Center of Rotation
Center of Rotation
 a rotation or turn moves every point in a preimage through an angle and direction about a fixed point
fixed point is called the center of rotation
Corresponding points in an image and preimage are equidistant from the center of rotation
Angle of Rotation
 if the point is on the center of rotation then image & preimage are the same point
otherwise, the angle of rotation is the angle formed by the preimage, center of rotation, and image

4. Vocabulary! Direction of Rotation clockwise (to the right)
Direction of Rotation
 clockwise (to the right)
Counterclockwise (to the left)
Assume rotations are counterclockwise unless otherwise told

5. Rotations on a Coordinate Plane
(𝒙,𝒚)→( −𝑦 , 𝑥 )
*change sign of original y, switch x and y
𝒙,𝒚 → −𝑥 , −𝑦
*change sign of both x and y
(𝒙,𝒚)→( y , −x )
*change sign of original x, switch x and y

6. Example 1:
Triangle DEF has vertices D(–2, –1), E(–1, 1), and F(1, –1). Graph ΔDEF and its image after a rotation of 270˚ about the origin?

7. Example 2:
Hexagon DGJTSR is shown below. What is the image of point T after a 90 counterclockwise rotation about the origin?

8. Example 3:
Triangle PQR is shown below. What is the image of point Q after a 180° counterclockwise rotation about the origin?

9. Example 4:
Find the image that represents the rotation of the polygon about the origin. Then graph the polygon and its image.

10. Example 4:
Find the image that represents the rotation of the polygon about the origin. Then graph the polygon and its image.