Question

1. Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry. If it has rotation symmetry, state the angle of rotation. For each type of symmetry, explain how you can tell the figure does or does not have the given symmetry.

Answer 1

A hexagon is a 6 sided polygon which has a 720° total of internal angles.
A regular hexagon has both reflective and rotation symmetry.
It has 6 rotational symmetries with an angle of 60°.
It has 6 reflection symmetries meaning it has 6 lines of axes.

It is easy to see if there is Reflection symmetry because one half of the whole is the reflection of the other half. In a regular hexagon, you can draw 6 lines across it and still have reflection symmetry.

In Rotational symmetry, the image is rotated around a central point and still looks the same. The regular hexagon is rotated 12 times at an angle of 60°.