Question

calculating n - fold reflectional symmetry analyze the reflectional symmetry of the regular polygons. the square has - fold reflectional symmetry. the regular octagon has - fold reflectional symmetry.

Explanation:

Step1: Recall symmetry property of square

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

Step2: Recall symmetry property of octagon

A regular octagon has 8 lines of symmetry. Four are through the mid - points of opposite sides and four are through opposite vertices.

Answer:

The square has 4 - fold reflectional symmetry.
The regular octagon has 8 - fold reflectional symmetry.