Which algebraic rule describes the 180° counterclockwise rotation about the origin

Answer:
[tex](x,y)\rightarrow (-x,-y)[/tex]
Step-by-step explanation:
We are asked to find the the algebraic rule describes the 180° counterclockwise rotation about the origin .
We know that when we rotate a point 180° counterclockwise rotation about the origin , the x and y-coordinates change their sign.
[tex](x,y)\rightarrow (-x,-y)[/tex]
Therefore, our required rule is [tex](x,y)\rightarrow (-x,-y)[/tex].