Question

determine the following characteristics for these polygons. if there is none, type in none; otherwise, type in number only. square line of symmetry: order of rotational symmetry: angle of rotational symmetry: degree

Explanation:

Step1: Recall line - symmetry concept

A square has 4 lines of symmetry. Two are the lines connecting the mid - points of opposite sides and two are the diagonals.

Step2: Recall rotational symmetry order

The order of rotational symmetry of a square is 4. It looks the same after rotating by 90°, 180°, 270° and 360°.

Step3: Calculate angle of rotational symmetry

The angle of rotational symmetry $\theta=\frac{360^{\circ}}{n}$, where $n$ is the order of rotational symmetry. For a square, $n = 4$, so $\theta=\frac{360^{\circ}}{4}=90^{\circ}$.

Answer:

Line of symmetry: 4
Order of rotational symmetry: 4
Angle of rotational symmetry: 90