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Determine rotations

Use the "Rotation" tool to determine the angle of rotation about point (2,−2)(2,-2) that will map line segments AZ‾\overline{AZ} and UT‾\overline{UT} onto the other line segments.
The direction of a rotation by a positive angle is counter-clockwise.
Created with RaphaëlCreated with Raphaël1\small{1}2\small{2}3\small{3}4\small{4}5\small{5}6\small{6}7\small{7}8\small{8}9\small{9}-2\small{\llap{-}2}-3\small{\llap{-}3}-4\small{\llap{-}4}-5\small{\llap{-}5}-6\small{\llap{-}6}-7\small{\llap{-}7}-8\small{\llap{-}8}-9\small{\llap{-}9}1\small{1}2\small{2}3\small{3}4\small{4}5\small{5}6\small{6}7\small{7}8\small{8}9\small{9}-2\small{\llap{-}2}-3\small{\llap{-}3}-4\small{\llap{-}4}-5\small{\llap{-}5}-6\small{\llap{-}6}-7\small{\llap{-}7}-8\small{\llap{-}8}-9\small{\llap{-}9}yyxx
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
Created with Raphaël
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