Question

Which of the following rotations turn a regular triangle onto itself? Pick ALL that apply(1 point)
Responses

45
45

60
60

90
90

120
120

135
135

180
180

225
225

240
240

270
270

315
315

360
360

Answer 1

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.