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?

To rotate a point (x, y) counterclockwise about the origin by 90 degrees, the new coordinates can be found using the following formulas:

x_new = y
y_new = -x

Using the point (1, 2), we can apply these formulas to find the new point:

x_new = 2
y_new = -1

Therefore, the new point after rotating counterclockwise about the origin by 90 degrees is (2, -1).