Help!!! **** Will Fan and Medal**** P-->P' (2,6) for the glid reflection where the translation is (x,y)--> (x+2, y-2) and the line of reflection where y= -x what are the coordinates for P
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When a translation (a slide or glide) and a reflection are performed one after the other, a transformation called a glide reflection is produced. In a glide reflection, the line of reflection is parallel to the direction of the translation. It does not matter whether you glide first and then reflect, or reflect first and then glide. This transformation is commutative.
The translation is given in the directions. translation: (x,y)--> (x+2, y-2) reflection about y=-x : (x,y) -> (-y, -x ) We want to apply the transformation one after another. P=(x,y) -> (x+2, y -2) -> (- (y-2) , - (x+2) ) = P ' (-(y-2) , -(x+2) ) = ( 2, 6) Equating coordinates: -(y-2) = 2 - ( x + 2) = 6 Can you solve it now?
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