Chapter 14.8, Problem 15WE

To determine

To complete the figure of the given figure that has a specified symmetry.

Answer to Problem 15WE

The complete figure is given below,

  

Explanation of Solution

Given information:

The given half figure that has the specified symmetry.

The figure has the three rotational symmetry. The symmetry has center O and rotates the figure onto itself. Note that $60°$ rotational symmetry is another name for point symmetry.

  $\begin{array}{l}\left(1\right)\text{ 6}0°{\text{ rotational symmetry: R}}_{0,60}\\ \left(2\right)\text{ 1}20°{\text{ rotational symmetry: R}}_{0,120}\\ \left(3\right)\text{ 18}0°{\text{ rotational symmetry: R}}_{0,180}\end{array}$

The identity mapping always maps a figure onto itself, we usually include the identity when listing the symmetries of a figure.

Therefore, the complete figure is given below,