Question

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

Explanation:

Step1: Recall symmetry of equilateral triangle

An equilateral triangle has rotational symmetry. The center - of rotation is the centroid.

Step2: Determine rotation angles

The angles of rotation that map an equilateral triangle onto itself are multiples of $\frac{360^{\circ}}{3}=120^{\circ}$.

Step3: List rotation angles in range

The rotations of symmetry between $0^{\circ}$ and $360^{\circ}$ are $120^{\circ},240^{\circ},360^{\circ}$. But we exclude $360^{\circ}$ as the problem asks for angles strictly between $0^{\circ}$ and $360^{\circ}$.

Answer:

120,240