which are properties of rotations? check all that apply. rotations are always counterclockwise. rotations…

which are properties of rotations? check all that apply. rotations are always counterclockwise. rotations preserve size. rotations of 360° map a figure to itself. lines connecting corresponding points on the pre - image and image are parallel. lines connecting corresponding points on the pre - image and image have equal length. lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal length.

which are properties of rotations? check all that apply. rotations are always counterclockwise. rotations preserve size. rotations of 360° map a figure to itself. lines connecting corresponding points on the pre - image and image are parallel. lines connecting corresponding points on the pre - image and image have equal length. lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal length.

Answer

Brief Explanations:

  1. Rotations can be clock - wise or counter - clockwise, so "Rotations are always counterclockwise" is false.
  2. Rotations are rigid motions and preserve size and shape, so "Rotations preserve size" is true.
  3. A 360 - degree rotation maps a figure onto itself, so "Rotations of 360° map a figure to itself" is true.
  4. Lines connecting corresponding points on the pre - image and image are not parallel in general rotation, so "Lines connecting corresponding points on the pre - image and image are parallel" is false.
  5. Lines connecting the center of rotation to the pre - image and the corresponding point on the image are radii of the circle of rotation and have equal length, so "Lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal length" is true.

Answer:

Rotations preserve size. Rotations of 360° map a figure to itself. Lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal length.