Select the statements that are true about rotating a preimage about a point. The preimage and the image are not congruent, so a rotation is not an isometry. The angle of rotation is the angle through which the points on the preimage rotate. The preimage and the image have the same shape and size. All rotations result in an image with a different orientation than the preimage. For every point on the preimage, the corresponding point of the image is the same distance from the center of rotation.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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I have a rotations geometry question.

Select the statements that are true about rotating a preimage about a point.
The preimage and the image are not congruent, so a rotation is not an isometry.
The angle of rotation is the angle through which the points on the preimage rotate.
The preimage and the image have the same shape and size.
All rotations result in an image with a different orientation than the preimage.
For every point on the preimage, the corresponding point of the image is the same distance from the center
of rotation.
Transcribed Image Text:Select the statements that are true about rotating a preimage about a point. The preimage and the image are not congruent, so a rotation is not an isometry. The angle of rotation is the angle through which the points on the preimage rotate. The preimage and the image have the same shape and size. All rotations result in an image with a different orientation than the preimage. For every point on the preimage, the corresponding point of the image is the same distance from the center of rotation.
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