Geometry

Describe the single transformatthat has the same effect as reflecting across the line x = 1 followed by a reflection across the line x = 5

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  1. across x=1: (x,y) -> (1+(1-x),y) = (2-x,y)
    across x=5: (x,y) -> (5+(5-x),y) = (10-x,y)
    so, the combination yields (x,y) -> (10-(2-x),y) = (8+x,y)
    try it with a few points to convince yourself.

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