Geometry
Isometries
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?