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First of all, if the rotation is 180 degrees then there is no difference clockwise and anti-clockwise so the inclusion of clockwise in the question is redundant.
In terms of the coordinate plane, the signs of all coordinates are switched: from + to - and from - to +.
So
(2, 3) becomes (-2, -3),
(-2, 3) becomes (2, -3),
(2, -3) becomes (-2, 3) and
(-2, -3) becomes (2, 3).



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