Question

What is the mapping rule for a 180 degree rotation about the origin?

(x, y)g(–y, x)
(x, y)g(–y, –x)
(x, y)g(–x, –y)
(x, y)g(x, –y)

Answer 1

The mapping rule for a 180-degree rotation about the origin takes a point \((x, y)\) and transforms it to \((-x, -y)\).

Therefore, the correct mapping rule is:

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

So, the answer is:

\((x, y) \to (-x, -y)\)