Page 3
A regular hexagon has been constructed in purple. The light blue hexagon is its rotation, which is controlled by the light blue slider on the top. Your goal is to get the purple and the light blue hexagons to completely overlap, so that it looks like there is only one dark shape.
Start by dragging the point on the slider back to 0. Notice that the hexagons overlap. Now, slowly drag the point to the right until the shapes overlap again. Drag the point until it's returned to the starting position. Each time the hexagons overlap, record the measurement of the angle on the slider. (Remember, it is hard to get perfect overlaps, so I'll tell you the angles you're looking fir are all even whole numbers.)
3. How many times did the purple and blue hexagons overlap? Do not count the starting position, but DO count the end position.
4. List the angle measurements where the shapes overlapped. You should have the same number of angle measurements as your answer to question 3.