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Topic review (newest first)
Well, it depends on which line you are rotating around first...
Yes. See diagram.
Suppose the centre of the rotation is (a,b). This rotation takes the point (2,−1) to (0,3). Then the same rotation about the origin would take the point (2−a,−1−b) to (−a,3−b). (And the other points correspondingly, but we only need one point to work out a and b.)
Solving the simultaneous equations gives .
A square has coordinates (-3, 2), (1, 3), (2, -1), and (-2, -2). It is rotated so that: