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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Chapter Test

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Exercise 15 Page 607

Is it possible to rotate the figure less than 360 ^(∘) so that the figure has the same appearance?

Rotational symmetry

Practice makes perfect

Let's review the symmetries of two-dimensional figures.

Symmetries of Two-Dimensional Figures
Line Symmetry	A figure can be mapped onto itself by a reflection in a line.
Rotational Symmetry	A figure can be mapped onto itself by a rotation between 0^(∘) and 360^(∘) about the center of the figure.

No matter how we try, we cannot find a line that divides the figure into two mirror images. That is why, the figure do not have a line symmetry. However, it has a rotational symmetry because we can get the same figure for a 180^(∘) rotation about its center.

Rotating the figure 180 degrees about its center