Question

What is the image of the point (-5,-9) after a rotation of 90° counterclockwise about the origin? A) (5, 9)

B) (-9, -5)
C) (9, 5)
D) (-5, -9)

Answer 1

The image of the point (-5, -9) after a rotation of 90° counterclockwise about the origin is (9, -5).

Step-by-step explanation:

To determine the image of a point after a rotation, we need to rotate the coordinates of the point by the given angle. In this case, we are rotating the point (-5, -9) by 90° counterclockwise about the origin.

To do the rotation, we swap the x and y coordinates and change the sign of the new y coordinate.

So, the image of the point (-5, -9) after a 90° counterclockwise rotation about the origin is (9, -5).