In this assignment, you will be exploring rotational and reflection symmetry of regular polygons. I will complete the first shape for you, then you will do 3 additional shapes.[br][br]An equilateral triangle has been constructed in purple. The light blue triangle is its rotation, which is controlled by the slider on the top right. Your goal is to get the purple and blue triangles to completely overlap, so that it looks like there is only 1 dark blue triangle.[br][br]Start by dragging the slider to 0 degrees. Notice the triangles overlap. Now, drag the slider to the right until triangles overlap again. This happens when the angle of rotation is 120 degrees (your measurement may not be the exact as it is hard to tell when they overlap perfectly.) Continue dragging the point to the right. The triangles overlap again at 240 degrees. Now move the point to the right so the so the original point at A of the blue triangle goes back to A.[br][br]What does that tell us?[br][br]The triangles overlapped 3 time during our full turn. This means that a triangle has 3 rotational symmetries. The triangles overlapped at multiples of 120. If we list multiples (120, 240, 360) you'll see that the last turn completed a full revolution or full circle!