# geometry

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What is the image of A(3,-1) after a reflection, first across the line y=3, and then across the line x=-1?
I believe (3,-1) but not real sure, doesn't the x stay the same?

• geometry -

(x,y) -> (x,6-y)
then
(x,y) -> (-1-(x+1),y) = (-2-x,y)

so, (x,y) -> (x,6-y) -> (-2-x,6-y)

(3,-1) -> (3,7) -> (-5,7)

• geometry -

thanxx Steve very much ;)

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