Summarize the rotations that turn a regular triangle onto itself. Enter your answers in ascending order.

Answer 1

For a regular triangle, there are three rotations that map the triangle onto itself. These rotations correspond to multiples of the angle created by the triangle's vertices. The rotations in degrees that turn a regular triangle onto itself are:

1. 0 degrees (no rotation),
2. 120 degrees (rotation by one vertex),
3. 240 degrees (rotation by two vertices).

Thus, the answer in ascending order is: 0 degrees, 120 degrees, 240 degrees.