The point Q (-5, -9) is rotated -270 degrees about the origin. select the location of Q’.
A. Q’(5,9)
B. Q’(9,-5)
C. Q’(-5,9)
D. Q’(9,5)
The point Q(-5, -9) is rotated -270 degrees about the origin. To rotate a point about the origin counterclockwise, you can follow these steps:
1. Change the sign of the y-coordinate of the point.
2. Swap the x and y coordinates of the point.
Applying these steps to Q(-5, -9):
1. The new y-coordinate becomes -(-9) = 9.
2. Swapping the x and y coordinates, we get Q’(9, -5).
Therefore, the location of Q' is B. Q’(9, -5).