Answer:- The correct properties of rotation are as follows:-
2.Rotations preserve size.
3. Rotations of 360° map a figure to itself.
6. Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.
Explanation:-
- Rotation transformation is a rigid transformation which create the image of a figure with same shape and size by rotating it by some degrees about the the center of rotation.
1. False ; Rotations are always counterclockwise.→ it is not a property of rotation, ∵rotation can be clockwise or counterclockwise both.
2.True; Rotations preserve size. [by definition of rotation]
3.True; Rotations of 360° map a figure to itself. [It completes one turn and get back to the original position ]
4.False; Lines connecting corresponding points on the pre-image and image are parallel. [They can be intersect]
5.False ; Lines connecting corresponding points on the pre-image and image have equal length.[The point which is the center of rotation in a figure is nearest to its image rather than the other points. ]
6. True ; Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length. [∵ all the points of the figure is rotated about the center of the point ,so the distance of the center of rotation to the pre-image and the corresponding point on the image have equal length]
