Question

what is the smallest angle of rotational symmetry for a square? 45° 90° 180° 360°

Explanation:

Step1: Recall the formula for rotational symmetry angle

The formula for the smallest angle of rotational symmetry \(\theta=\frac{360^{\circ}}{n}\), where \(n\) is the number of sides (or the order of rotational symmetry).

Step2: Determine \(n\) for a square

A square has \(n = 4\) sides.

Step3: Calculate \(\theta\)

Substitute \(n = 4\) into the formula: \(\theta=\frac{360^{\circ}}{4}=90^{\circ}\)

So the smallest angle of rotational symmetry for a square is \(90^{\circ}\).

Answer:

B. \(90^{\circ}\)