To determine which rotations turn a regular triangle onto itself, we need to consider its symmetries. A regular triangle has rotational symmetries at the following angles:
- 0° (360° is effectively the same as 0°, so it is included)
- 120° (rotate to the position of another vertex)
- 240° (rotate to the position of the third vertex)
Thus, the valid rotations in the options you provided are:
- 120
- 240
- 360
So, the correct responses are:
- 120
- 240
- 360
These angles will align the triangle with its original position.