Respuesta :

rule describes the 180° counterclockwise rotation about the origin=
(x,y)→(−x,−y)

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].