Question

what is the angle of rotational symmetry for this figure? a 30° b 45° c 90° d no rotational symmetry

Explanation:

Step1: Analyze the figure's symmetry

The figure has 4-fold rotational symmetry (since there are 4 similar parts around the center). The formula for the angle of rotational symmetry is $\frac{360^\circ}{n}$, where $n$ is the number of times the figure maps onto itself during a full rotation (360°). Here, $n = 4$.

Step2: Calculate the angle

Using the formula $\frac{360^\circ}{n}$, substitute $n = 4$: $\frac{360^\circ}{4}= 90^\circ$.

Answer:

C. $90^\circ$