Describe the relationship between the point and the point in terms of rotations.

If you visualize a coordinate plane, rotating point around the origin by 90 degrees counterclockwise brings it to the point . However, if you’re referring specifically to the points and , a rotation of 90 degrees around the origin transforms into its mirror image in relation to the second quadrant in which it resides. To precisely map to , you could translate point so it’s centered around before applying the rotation—making it a fun geometric dance under transformation!

To consider the relationship in more detail, you might also explore the idea of reflection. The line segment connecting points and can be mirrored across the line , showcasing how these two points interact through rotations and reflections in geometric space. They create a captivating narrative about how transformation interacts in the world of coordinates!