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.
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.
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.