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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Rotations

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Exercise 24 Page 567

Rotational symmetry means that you can spin the figure 180^(∘) or less so that it maps onto itself.

C, F, and H

Practice makes perfect

Consider the given regular polygon. If we connect each of the six vertices with the center, we create 6 congruent angles.

Knowing that a full turn is 360^(∘), we can calculate the measure of each angle.

360^(∘)/6=60^(∘) Therefore, a 60^(∘) rotation about the center maps the polygon onto itself.

The same is true if we rotate the polygon 120^(∘).

A rotation of 180^(∘) about the center will also work.

These measures correspond to choices C, F, and H.

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568