Exploring Rotations

Philip K
Use the construction to explore rotations. Use the slider to change the angle of rotation and the check boxes to toggle various parts of the construction. Also, feel free to move the position of the Preimage or its vertices, and/or the center of the rotation. Use the questions below to guide your exploration.
  • For rotations of 90 degrees, how do the vertex coordinates of the Image relate to the original vertex coordinates on the Preimage?
  • What about for a rotation of 180 degrees?
  • In what ways does changing the center of rotation affect the results?
  • How would you describe the process of rotation to someone who doesn't really understand it? (Using the appropriate terms; Center, Preimage, Image, Vertices, etc.)