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?

Question

Depict a geometrical figure, possibly a triangle or a pentagon, with one of its points marked at the position (1, 2). Show a rotation of the figure counterclockwise around the origin by 90 degrees. Make sure to visually highlight the chosen point before and after rotation to communicate the shift in position clearly. No textual information should be embedded within the image.

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).