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Which of the following transformations will result in an image that maps onto itself?A.Rotate 360 degrees about the origin.B.Rotate 270 degrees counterclockwise about the origin, and the reflect it across the x-axis.C.Reflect across the y-axis, and then reflect across the x-axis.D.Rotate 90 degrees counterclockwise about the origin, and then rotate 180 degrees.

Question

Which of the following transformations will result in an image that maps onto itself?A.Rotate 360 degrees about the origin.B.Rotate 270 degrees counterclockwise about the origin, and the reflect it across the x-axis.C.Reflect across the y-axis, and then reflect across the x-axis.D.Rotate 90 degrees counterclockwise about the origin, and then rotate 180 degrees.

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Solution

The transformation that will result in an image that maps onto itself is A. Rotate 360 degrees about the origin.

Here's why:

A. When you rotate a figure 360 degrees about the origin, it ends up in the same position as it started. Therefore, the image maps onto itself.

B. Rotating a figure 270 degrees counterclockwise about the origin and then reflecting it across the x-axis will not result in the original figure.

C. Reflecting a figure across the y-axis and then the x-axis will not result in the original figure.

D. Rotating a figure 90 degrees counterclockwise about the origin and then rotating it 180 degrees will not result in the original figure.

So, the correct answer is A. Rotate 360 degrees about the origin.

This problem has been solved

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