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how to use a grid and lenghts of line segments to give a geometric argument

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a hat on a grid has coordinates of (0,4), (0,1), (6,1), (4, 2), (4,4), (3,5), (1,5), and (0,4). What rule would make a hat with line segments twice as long as this hat's(coordinates above) line segments and moved 8 units to the right?

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It's asking me to use a grid and lengths of line segments to give a geometric argument but I'm not sure what that means or looks like.