Question

What are the coordinates of the image of point (−1, 5) after a counterclockwise rotation of 90° about the origin?

Responses
(1, 5)

(5, 1)

(−5, −1)

(-5, -1)

Answer 1

Answer: (5, -1)

Explanation:

To rotate a point counterclockwise by 90° about the origin, we swap the x and y coordinates and negate the new x-coordinate. For the point (-1, 5), we swap the x and y coordinates to get (5, -1). The x-coordinate becomes positive, and the y-coordinate becomes negative. Therefore, the coordinates of the image of the point (-1, 5) after a counterclockwise rotation of 90° about the origin are (5, -1).

I think you put down the same answer choice twice and instead meant to say (5, -1) instead of (-5, -1) twice.