how many axes of rotational symmetry does an equilateral triangle have (it is shown in 3d style)
To determine the number of axes of rotational symmetry that an equilateral triangle has when shown in 3D style, you can follow these steps:
1. Visualize the equilateral triangle in 3D. Imagine that you are looking at it from above, so it appears flat and like a regular 2D equilateral triangle.
2. Identify the center of the equilateral triangle. In 3D, this center will be a point equidistant from all three vertices.
3. Now, imagine rotating the 3D equilateral triangle around an axis passing through its center. Each axis of rotation is perpendicular to the plane of the triangle and passes through its center.
4. Observe that as you rotate the 3D equilateral triangle around any of these axes, the triangle will appear the same in each of its positions. In other words, the triangle will coincide with itself after a certain degree of rotation around any of these axes.
5. Consequently, there are three such axes of rotational symmetry for an equilateral triangle shown in 3D style. Each axis corresponds to one of the three sides of the triangle.
So, in total, an equilateral triangle shown in 3D style has three axes of rotational symmetry.