Question

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

Answer 1

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

Answer 2

`(x,y)\rightarrow (-x,-y)`

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.

`(x,y)\rightarrow (-x,-y)`

Therefore, our required rule is
`(x,y)\rightarrow (-x,-y)`.