Chapter 14.8, Problem 16WE

To determine

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

Answer to Problem 16WE

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 $90°$ rotational symmetry is another name for point symmetry.

  $\begin{array}{l}\left(1\right)\text{ 9}0°{\text{ rotational symmetry: R}}_{0,90}\\ \left(2\right)\text{ 18}0°{\text{ rotational symmetry: R}}_{0,180}\\ \left(3\right)\text{ 27}0°{\text{ rotational symmetry: R}}_{0,270}\end{array}$

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,