Chapter 11.3, Problem 32E

To determine

To explain: Whether it is possible for A Figure to have ${90}^{°}$ rotational symmetry bur not ${180}^{°}$ rotational symmetry

Explanation of Solution

Given information: A Figure to have ${90}^{°}$ rotational symmetry.

Calculation:

Any figure having 90 degrees rotational symmetry will definitely have 180 degrees rotational symmetry because the figure rotated twice by 90 degree map it onto itself which means 180 degree is a rotational symmetry.

Therefore, it is not possible for A Figure to have ${90}^{°}$ rotational symmetry bur not ${180}^{°}$ rotational symmetry