The required location of X" under the given translation is (3,-10).
What is translation?
A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions. The shape just shifts from one place to another, therefore there is no change in the shape.
Given, X coordinates = (5,6)
First, ΔXYZ translated (x,y)⇒(x+5,y-3)
So, X(5,6) = X'(5+5,6-3) = X'(10,3)
Then, rotated 90 degrees clockwise
i.e. (x,y)⇒(y,-x)
So, X'(10,3) = X"(3,-10)
Hence, the location of X'' is (3,-10).
To learn more about translation
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