Which are properties of rotations? check all that apply. 1 rotations are always counterclockwise. 2 rotations preserve size. 3 rotations of 360° map a figure to itself. 4 lines connecting corresponding points on the pre-image and image are parallel. 5 lines connecting corresponding points on the pre-image and image have equal length. 6 lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

- 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:-

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]

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