Geometry Rotational Symmetry

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

Find the coordinates of the vertices after the given transformation.
Rotation 90 degrees counterclockwise about the origin
K(4,-6)

• K'(-6,4)

• K'(-4,6)

• K'(6,4)

• K'(-6, -4)

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

Determine whether the figure has rotational symmetry, reflectional symmetry, both, or neither.

• Rotational

• Reflectional

• Both

• Neither

Which of the following would create a transformation where rectangle ABCD is carried onto itself?

• Rotate 90 degrees clockwise from the orgin

• Rotate 90 degrees counterclockwise from (-1/2,1/2)

• Rotate 180 degrees counterclockwise from (1/2,-1/2)

• Rotate 180 degrees clockwise from the origin

• Rotate 270 degrees counterclockwise from (-1/2,1/2)

• 1

• 2

• 3

• 4

Write a rule to describe the transformation.

• Reflection of y=x

• Translation of (2,4)

• Rotation of 180 degrees

• Dilation of -2

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?

• 60

• 160

• 144

• 45