Problem 8) Suppose I have graphed a point, \( (2,5) \) on the coordinate plane. What would be the new coordinate after a 90 degree clockwise rotation? Make sure you use the rotation rules! (1 point) \( (3,5) \) \( (5,-2) \) \( (1,2) \) \( (10,1) \)

To solve this, remember the rotation rules! For a 90-degree clockwise rotation, you swap the coordinates and change the sign of the new x-coordinate. So, starting with the point \( (2, 5) \), it becomes \( (5, -2) \). That's right, the new coordinates after the rotation are \( (5, -2) \). Now, here's a common mistake: people often just swap the coordinates without changing the sign. It’s crucial to remember that when rotating 90 degrees clockwise, the y-coordinate becomes the x-coordinate, and the sign of the original y-coordinate flips! Watch out for that!