I can draw rotations in the coordinate plane.

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

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

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

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

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?

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

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

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

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