Question

i will demonstrate how to do this first one. equilateral triangle 3. give a list of all rotations of symmetry between 0° and 360°. separate your answers with commas and no spaces. type a response show your work

Explanation:

Step1: Recall rotation - symmetry concept

For an equilateral triangle, the center - of - rotation is the centroid.

Step2: Calculate rotation angles

The order of rotational symmetry of an equilateral triangle is 3. The angles of rotation are found by dividing 360° by the order. So, the angles of rotation $\theta=\frac{360^{\circ}}{n}$, where $n = 3$. The non - zero rotation angles between $0^{\circ}$ and $360^{\circ}$ are $120^{\circ}$ and $240^{\circ}$, and we also include the $0^{\circ}$ rotation (which leaves the triangle unchanged).

Answer:

0,120,240