When a point is rotated 180 degrees about the origin, the following transformation of the point occurs:
[tex] (x,y) \rightarrow (-x,-y) [/tex]
This basically means that you will flip the positive/negative signs for x and y:
[tex] x = 1 [/tex]
[tex] x' = -1 [/tex]
[tex] y = -6 [/tex]
[tex] y' = 6 [/tex]
[tex] (1,-6) \rightarrow \boxed{(-1,6)} [/tex]
The image will be (-1, 6).
