Perpendicular lines l and m contain the point R (0,0). Circle R with radius PR is constructed such that P is on line l, and Circle R intersects line m at Q. Since l and m are perpendicular, the point Q could be obtained by rotating P, 90 degrees counterclockwise about the origin. Explore the relationship between the coordinates of P and Q by dragging point P to different locations and recording the coordinates for points P and the corresponding Q in the spreadsheet.
If P = (a, b), the Q = (?, ?)?