An image is drawn of a figure. After a 180°(counterclockwise) rotation about the origin, P(7, -2) is mapped to P' (-7,2). Identify the rule that maps P to P'. (1 point)

Responses

(x,y) →(y, x))
(x,y) right arrow(y, x))

(x,y) →(x, y)
(x,y) right arrow(x, y)

(x,y) →(-x, -y)
(x,y) right arrow(-x, -y)

(x,y) →(-y, -x)

1 answer

The rule that maps point \( P(7, -2) \) to point \( P'(-7, 2) \) after a 180° counterclockwise rotation about the origin is:

\[ (x,y) \rightarrow (-x, -y) \]

So the correct response is:

\[ (x,y) \rightarrow (-x, -y) \]