Regular Polygon Rotation Symmetry Theorem

can be mapped onto itself using a rotation with a magnitude less than or equal to 180*

• rotational symmetry

• order of symmetry

• magnitude of rotational symmetry

• point symmetry

the number of distinct rotations of degree, that align all points in a figure with rotational symmetry

• rotational symmetry

• order of symmetry

• magnitude of rotational symmetry

• point symmetry

What is the central angle (for rotational symmetry) of a regular hexagon?

• 30 degrees

• 60 degrees

• 72 degrees

• 120 degrees

A polygon is regular if:

• All sides and angles are congruent.

• It is inscribed in a circle.

• It has at least one line of symmetry.

• It can be tessellated.

What is one of the angles of rotation needed to rotate this octagon onto itself?

• 60

• 135

• 120

• 240

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

• 280

• 90

• 45

• 120

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

• 40

• 120

• 72

• 240

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

• 60

• 280

• 288

• 320

Identify the smallest angle of rotation that maps the image to itself.

• 72°

• 180°

• 144°

• 45°

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

• 216

• 288

• 72

• 40