Question

Please help me with this problem

Answer 1

Part A: D) x is positive, y is negative.
Part B: C) both x and y are negative.

Part A:
P' is found by rotating P 90° counterclockwise about the origin. This makes the coordinates (x,y) transform to (-y,x). Thus (-2,-1) maps to (1,-2).

Part B:
Q'' is found by rotating Q 90° counterclockwise about the origin, then reflecting across the x axis. This makes the coordinates (x,y) first transform to (-y,x), then makes the new y-coordinate the opposite sign. Thus (1,2) first maps to (-2,1), then to (-2,-1).