Question

question 4 of 25
______ regular polygons are symmetrical.
a. even - sided
b. odd - sided
c. rectangular
d. all

Explanation:

A regular polygon has all sides equal and all angles equal. By definition, all regular polygons have rotational symmetry (rotating them by an angle of \(\frac{360^{\circ}}{n}\), where \(n\) is the number of sides, maps the polygon onto itself) and reflection symmetry (for a regular \(n -\)sided polygon, there are \(n\) lines of symmetry). Whether \(n\) is even (e.g., a square, \(n = 4\)) or odd (e.g., an equilateral triangle, \(n=3\)), the regular polygon is symmetrical. A regular polygon is not necessarily rectangular (a rectangle is a type of quadrilateral, but a regular polygon has more general properties). So, all regular polygons are symmetrical.

Answer:

D. All