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Which sequence of transformations will result in an image that maps onto itself?A.Rotate 180 degrees counterclockwise about the origin, and then reflect across the x-axis.B.Reflect over the y-axis, and then reflect again over the y-axis.C.Rotate 180 degrees counterclockwise about the origin, and then reflect across the y-axis.D.Reflect over the y-axis, and then reflect over the x-axis.

Question

Which sequence of transformations will result in an image that maps onto itself?A.Rotate 180 degrees counterclockwise about the origin, and then reflect across the x-axis.B.Reflect over the y-axis, and then reflect again over the y-axis.C.Rotate 180 degrees counterclockwise about the origin, and then reflect across the y-axis.D.Reflect over the y-axis, and then reflect over the x-axis.

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Solution

The sequence of transformations that will result in an image that maps onto itself is B. Reflect over the y-axis, and then reflect again over the y-axis.

Here's why:

When you reflect an image over the y-axis, you create a mirror image of the original on the other side of the y-axis. If you then reflect this new image over the y-axis again, you will get back to the original image.

So, reflecting an image over the y-axis twice will result in an image that maps onto itself.

This problem has been solved

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