Question

complete the following sentence. the figure below has rotational symmetry. is the smallest possible rotation that results in the figure being mapped onto itself.

Explanation:

Step1: Understand rotational symmetry

Rotational symmetry means a figure can be rotated and still look the same.

Step2: Analyze the given cross - shaped figure

This cross - shaped figure has 4 equal arms.

Step3: Calculate the smallest rotation angle

A full rotation is 360°. For a figure with 4 - fold rotational symmetry, the smallest rotation angle $\theta=\frac{360^{\circ}}{4}=90^{\circ}$.

Answer:

90