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Regular Hexagon

Below, you will find a regular (equilateral and equiangular) hexagon. ✔️ Use the slider (a) to rotate the regular hexagon between 0 and 360 degrees. ✔️ Use the check boxes and sliders (α and β) to explore the line(s) of reflection of the pre-image hexagon.

Specify the line(s) of reflection (symmetry) that will map the pre-image regular hexagon onto itself.

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What is the minimum angle of rotation that will map the regular hexagon onto itself?

Select all of the angles of rotation that will map the regular hexagon onto itself.

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Which of the choices below describe the type of types of symmetry this figure has?

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Explain your reasoning:

Write at least 5 sentences explaining your answers.