Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

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06-04-2015
Mathematics

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Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

Sagot :

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meerkat18 meerkat18 · Answer 1 · 2016-09-25T08:14:50-04:00

meerkat18 meerkat18

25-09-2016

The question is asking to choose among the following that state the sequence of a transformation will result in an image that maps onto itself, base on my research and further analysis, the answer would be d) reflect over the y axis and then reflect again over the y axis. I hope you are satisfied with my answer

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facundo3141592 facundo3141592 · Answer 2 · 2022-06-01T10:21:07-04:00

After 2 reflections over the same axis we get the original image, so the correct option is d.

Which sequence of a transformation will result in an image that maps onto itself?

Notice that we do not have a image, so we can use a "false image" denoted by the point (a, b).

The sequence of transformations that will map that point into itself is the last one.

Let's check:

If we apply a reflection across the y-axis, we only change the sign of the x-component.

So after one reflection we get: (-a, b).

And after another reflection we change the sign again: (a, b).

So after 2 reflections over the same axis, we get the original image.

We conclude that the correct option is d.

If you want to learn more about transformations:

https://brainly.com/question/4289712

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Sagot :

Which sequence of a transformation will result in an image that maps onto itself?

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