given a point (x,y) on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180 degrees?
To find the new point when a point (x, y) on a geometric figure is rotated counterclockwise about the origin by 180 degrees:
The formula to rotate a point counterclockwise about the origin by 180 degrees is:
x' = -x
y' = -y
Where x' and y' are the coordinates of the new point.
So, the new point after rotating (x, y) counterclockwise by 180 degrees about the origin would be (-x, -y).