Rotation Exploration
Exploring rotations
Use this sketch to play around with rotations. The questions below are also in your 2.3 Rotations Notes.
Questions:
1. Change the shape, size, and location of . How does change?
2. What do you notice about the measures of the angles , , and (use the check boxes to see the measure of the angles!)? Does that relationship remain true if you move the center of rotation, P? What happens if you change the size and shape of ?
3. Use the checkboxes to measure the distance from A to P and distance from A' to P. What do you notice? Does this relationship remain true as you move point P? What happens if you change the size and shape of ?
4. What can you conclude about the distance of a point and its image from the center of rotation?
5. What are the advantages of using geometry software or an online tool rather than tracing paper or a protractor and ruler to investigate rotations?