Question

Luisa draws a regular nonagon and rotates it about its center. which angle measures can luisa rotate the regular nonagon through to map it onto itself? select each correct answer. 40° 80° 90° 120° 160° 180°

Answer 1

360/9 = 40

Answer: 40 deg

Answer 2

Answer: $40^{\circ}$

Step-by-step explanation:

Given: A regular nonagon with 9 sides.

For a regular nonagon, it maps onto itself 9 times during a rotation of 360°.

Mow, the angle at Lusia can rotate the regular nonagon through to map it onto itself=$\frac{360}{\text{number of sides of regular polygon}}=\frac{360}{9}=40^{\circ}$

• A shape is said to has rotational symmetry if it maps onto itself under rotation about a point at its center.
• The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°.