Understanding rotational symmetry

the number of distinct orientations in which it looks exactly the same for each rotation

• order

• line of symmetry

• exterior angle

• degree

Identify the angles of rotation that maps the image to itself.

• multiples of 120°
• multiples of 180°
• multiples of 90°
• multiples of 60°

How many degrees can this shape be rotated by to be rotated back onto itself?

• 60 degrees

• 45 degrees

• 72 degrees

• 90 degrees

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

• 315

• 45

• 320

• 225

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

• 144

• 240

• 135

• 120

Which rotation about its center will carry a regular decagon onto itself?

• 54°

• 162°

• 198°

• 252°

Identify the smallest angle of rotation that will map the regular octagon onto itself.

• 60 degrees

• 45 degrees

• 36 degrees

• 90 degrees

Determine the angle of rotational symmetry for the figure.

• None

• 60°

• 120°

• 180°

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

• 45

• 320

• 240

• 90

A regular octagon is rotated about its center. Which of the following angles of rotation will not map the octagon onto itself?

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees