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Describing Rotations

Describing Rotations 1.11 - Solution

arrow_back Return to Describing Rotations

Let's begin by drawing a regular hexagon.

If we connect each of the six vertices with the center, we create 66 congruent angles.

Knowing that a full turn is 360,360^\circ, we can calculate the measure of each angle. 3606=60 \dfrac{360^\circ}{6}=60^\circ Therefore, a 6060^\circ rotation about the center maps the polygon onto itself.

The same is true if we rotate the polygon 120120^\circ and 180180^\circ about the center.

We have found three angles of rotation that map the figure onto itself and they are 60,60^\circ, 120,120^\circ, and 180.180^\circ.