Question

geometry - kochanowska - f - 4m - 4r - 4t - 4w - 4 - kochanowska, joanta u
progress monitoring assessment form a
complete the sentence to make a true statement about the symmetry of a regular polygon.
a regular polygon with ten sides does have rotational symmetry and choose have reflectional symmetry.

Explanation:

Step1: Recall symmetry properties of regular polygons

A regular polygon with \(n\) sides has rotational symmetry. The order of rotational symmetry of a regular polygon is \(n\). For a decagon (\(n = 10\)), it can be rotated by \(\frac{360^{\circ}}{10}=36^{\circ}\) and its image will coincide with the original polygon. So it has rotational symmetry.

Step2: Recall reflectional - symmetry properties

A regular polygon with \(n\) sides has \(n\) lines of reflection. A regular decagon has 10 lines of reflection. So it has reflectional symmetry.

Answer:

does