Rotational symmetry means that you can spin the figure 180^(∘) or less so that it maps onto itself.
Yes, 60^(∘), 120^(∘) and 180^(∘).
Practice makes perfect
Consider the given figure.
We want to determine whether the figure has rotational symmetry. To do so, notice that if we draw segments from each of the star vertices to the middle, we create 6 congruent angles.
Knowing that a full turn is 360^(∘), we can calculate the measure of each angle by dividing 360^(∘) into six parts.
360^(∘)/6=60^(∘)
The start have six angles of 60^(∘). This means that if we rotate the star by 60^(∘), it will map onto itself.
The same is true for rotations of 120 ^(∘) and 180 ^(∘) as they are multiples of 60.
