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°

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=

A shape that maps onto itself after rotation, has a rotation symmetry

The angles of rotation that would map the nonagon onto itself are:

A regular nonagon has nine equal sides i.e.

The angle at the center of the nonagon is:

So, the angle of rotation symmetry is:

This gives:

This means that, the nonagon would map onto itself, when rotated at 40 degrees.

Other angles of rotation symmetry must be a multiple of 40

i.e.

Using the above list of angles, the angles of rotation that would map the nonagon onto itself are:

Read more about rotational symmetry at:

link

; )

step-by-step explanation: ; )

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