Question

draw all the lines of symmetry for this regular polygon.

Explanation:

Step1: Recall symmetry property of regular polygons

A regular polygon with \(n\) sides has \(n\) lines of symmetry.

Step2: Identify number of sides of given polygon

The given polygon is an octagon, so \(n = 8\).

Answer:

Draw 8 lines of symmetry. One line can be drawn from each vertex to the mid - point of the opposite side and one from the mid - point of each side to the mid - point of the opposite side.