Question

1. a square is rotated about its center. what is the smallest degree of rotation where the square appears the same as the original position? 90 degrees 45 degrees 360 degrees 180 degrees

Explanation:

Step1: Recall the concept of rotational symmetry

A square has rotational symmetry. The formula for the angle of rotational symmetry is \(\frac{360^{\circ}}{n}\), where \(n\) is the number of sides.

Step2: Calculate the angle for a square

For a square, \(n = 4\). So, \(\frac{360^{\circ}}{4}=90^{\circ}\).

Answer:

90 degrees