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Geometry

Isometries

Rotation

         

If the point \((3, 11)\) is rotated \(90^\circ\) counterclockwise about the origin, what are the coordinates of the new point?

If the point \((6, 3)\) is rotated \(180^\circ\) counterclockwise about \((2,9),\) what are the coordinates of the new point?

If the point \((2, 9)\) is rotated \(90^\circ\) counterclockwise about \((1,1),\) what are the coordinates of the new point?

After counterclockwise rotation by \(270^\circ\) about \((1, 2),\) the coordinates of the point changes to \((5, 4).\) What is the point before rotation?

If the point \((8, 3)\) is rotated \(270^\circ\) counterclockwise about the origin, what are the coordinates of the new point?

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