Given a(x,y) on a geometric figure, what is the new point when the figure is rotated counterclockwise about the origin 180°?

Answer 1

To find the new point (a',b') after rotating a point (a,b) counterclockwise about the origin by 180°, you can use the following formulas:

a' = -a
b' = -b

So if the original point is (x, y), the new point after rotating counterclockwise by 180° would be:

(-x, -y)