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How do you reflect over y=xWhat would change if the coordinate has a positive x and negative y

User Dpant
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When a point (x,y) is reflected across the line y = x:

We have the transformation rule:


(x,y)\to(y,x)

That is, the x-coordinate and y-coordinate change places.

For example:

If we reflect the point (2,5) over y=x, the image of the given point will be:


(5,2)

If the coordinate has a positive x and negative y, the transformation will be:


(x,-y)\to(-y,x)

User CheapSteaks
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