Chapter 11.5, Problem 13IP

To determine

To determine whether the synchronized swimming formation has rotational symmetry. And if it has describe the angle of rotation.

Answer to Problem 13IP

Yes, it has rotational symmetry

Angle of rotation: ${180}^0$

Explanation of Solution

Given:

A swimming formation of 2 people symmetrically arranged.

  

Yes the swimming arrangement has rotational symmetry, since each person is arranged at opposite ends which make it symmetrical.

To find the angle of rotation divide ${360}^0$ by $2.$

  $\Rightarrow \frac{{360}^0}{2}$

  $\Rightarrow {180}^0$

Conclusion:

Hence, the given swimming arrangement has rotational symmetry with angle of rotation as ${180}^0.$