Question

Point G(5, 3) is rotated 90° counterclockwise about the origin. What are the coordinates of its image?

Answer 1

Point G(5, 3) is rotated 90° counterclockwise about the origin. The coordinates of its image are (-3, 5).

Step-by-step explanation:

To rotate a point 90° counterclockwise about the origin, we can use the following transformation rules:

1. Swap the x and y coordinates
2. Negate the new x coordinate

Applying these rules to point G(5, 3):

1. Swapping the x and y coordinates gives us (3, 5)
2. Negating the new x coordinate gives us (-3, 5)

Therefore, the coordinates of the image of point G after a 90° counterclockwise rotation about the origin are (-3, 5).