Exploring Rotations
Use the applet 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 orange triangle relate to the original vertex coordinates on the blue triangle?
What about for a rotation of 180 degrees--how do the vertex coordinates of the orange triangle relate to the original vertex coordinates on the blue triangle?
In what ways does changing the center of rotation affect the results (drag the center point)?
How would you describe the process of rotation to someone who doesn't really understand it?