### Home > CC4 > Chapter 3 > Lesson 3.1.5 > Problem 3-60

**regular** **hexagon** with center *C*. Copy this figure on your paper, then complete the problems below. Homework Help ✎

Draw the result of rotating the hexagon about its center 180°. Explain what happened. When this happens, the polygon has

**rotation symmetry**.The orientation of the hexagon does not change.

What is the result when the original hexagon is reflected across line

*n*, as shown at right? A polygon with this quality is said to have**reflection symmetry**. Line*n*is called a**line of symmetry**of the hexagon.The orientation of the hexagon does not change.

Does a regular hexagon have any other lines of symmetry? That is, are there any other lines you could fold across so that both halves of the hexagon will match up? Find as many as you can.