Rotation experiment
Predict the location of the image of the pentagon after a rotation by the given angle. (Use GeoGebra's tools to draw your prediction.) Then use GeoGebra's built-in tools to rotate the polygon by the angle. How close was your prediction?
Experiment by moving the blue points. What do you notice? What do you wonder? Think about how you would rotate the polygon using only angles, circles (including a compass), lines, and line segments.