We conclude that the coordinates after two reflections are (-3, 1)
<h3>How to find the image after the two reflections?</h3>
A reflection across a line moves a point perpendicularly towards that line and translates it to the other side of the line, such that the distance between the point and the line doesn't change.
Here the original point is z(1, 1)
And the first reflection is across line x = 2.
This is a vertical line, then it only will change the x-value.
Now, the distance between the x-value of our point and the line is:
|2 - 1| = 1
The new x-value will be one that is at a distance of 1 unit of the number 2 (a number different than 1, which is the x-value before the reflection).
That value will be x = 3.
|2 - 3| = |-1| = 1
Then the new point is (3, 1)
Now we do another reflection across the y-axis. This only changes the sign of the x-value, then we will get:
(-3, 1)
We conclude that the coordinates after two reflections are (-3, 1).
If you want to learn more about reflections.
brainly.com/question/4289712
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