Question

for the regular polygon shown, how many lines of symmetry does the polygon have?

Explanation:

Step1: Recall symmetry property of square

A square has lines of symmetry.

Step2: Identify types of lines of symmetry

It has 2 lines of symmetry through the mid - points of opposite sides and 2 lines of symmetry through opposite vertices.

Step3: Calculate total number of lines of symmetry

2 (mid - point lines)+2 (vertex lines)=4.

Answer:

4