Chapter 14.8, Problem 27WE

To determine

To show: The opposite sides of hexagon must be parallel, if it has point of symmetry.

Explanation of Solution

Given information: A hexagon has point of symmetry.

Proof:

A hexagon is a quadrilateral with 6 sides. It is given that a hexagon has point of symmetry.

The hexagon maps itself after the rotation of $180°$ . So, the parallel sides of hexagon must be parallel.

Hence, it is proved that if opposite sides of hexagon must be parallel, if it has point of symmetry.