Question

if you rotate point n 90° counterclockwise about the origin, the new point should have coordinates (q, p). what patterns have you noticed? if you rotate a point 90° counterclockwise about the origin, you can form the coordinates of the new point by (a) _. the slopes of perpendicular lines are (b) _. (a) switching the original coordinates switching the original coordinates and reversing the sign of the new x - coordinate making the x - coordinate negative reversing the sign of the x - coordinate and y - coordinate (b)

Explanation:

(A) When rotating a point 90° counter - clockwise about the origin, if the original point has coordinates (x,y), the new point has coordinates (-y,x), which means switching the original coordinates and reversing the sign of the new x - coordinate.
(B) The slopes of perpendicular lines are negative reciprocals of each other. For example, if the slope of one line is m, the slope of a line perpendicular to it is -1/m.

Answer:

(A) switching the original coordinates and reversing the sign of the new x - coordinate
(B) negative reciprocals of each other