Question

Given a point (1, 2) on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 90 degrees?

Answer 1

To rotate a point counterclockwise about the origin 90 degrees, we swap the x-coordinate and the y-coordinate of the point and negate the new x-coordinate.

In this case, the x-coordinate of the given point is 1 and the y-coordinate is 2. Swapping these values gives us the point (2, 1), and negating the new x-coordinate gives us the final point (-2, 1).

So, the new point when the figure is rotated counterclockwise about the origin 90 degrees is (-2, 1).