Question

identifying properties of 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.

Explanation:

• Rotations can be clockwise or counter - clockwise, so "Rotations are always counterclockwise" is incorrect.
• Rotations are rigid transformations, so they preserve size.
• A full - rotation of \(360^{\circ}\) maps a figure to itself.
• Lines connecting corresponding points on the pre - image and image are not parallel (except in some special cases like rotation by \(0^{\circ}\) or \(360^{\circ}\), but in general for non - zero rotations less than \(360^{\circ}\) they are not).
• Lines connecting corresponding points on the pre - image and image do not have equal length (except in some special cases).
• By the definition of rotation, lines connecting the center of rotation to the pre - image and the corresponding point on the image have equal length.

Answer:

Rotations preserve size, Rotations of \(360^{\circ}\) 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.