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Point $A$ is reflected over the line shown below to point $B$. Find the coordinates of $B$.
Write your answer as an ordered pair $(x,y)$.
Point A is (5,7), and the line is y = x.

 Mar 5, 2024

Best Answer 

 #1
avatar+394 
+2

The general formula across line y = x, is \((a, b)\rightarrow (b, a)\), so the result is \((7, 5)\).

But if you want a more general solution that can work for any line, then it is much more difficult, but turning to imaginary numbers + roots of unity is one way to do it.

 Mar 6, 2024
 #1
avatar+394 
+2
Best Answer

The general formula across line y = x, is \((a, b)\rightarrow (b, a)\), so the result is \((7, 5)\).

But if you want a more general solution that can work for any line, then it is much more difficult, but turning to imaginary numbers + roots of unity is one way to do it.

hairyberry Mar 6, 2024

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