Question

a pre - image is transformed according to the rule (t_{(x,y)\to(-y,-x)}). which is another way to state the transformation? ((x,y)\to(x, - y)) ((x,y)\to(-x,-y)) ((x,y)\to(-x,y))

Explanation:

Step1: Identify rotation type

\( R_{0,180^\circ} \) is 180° rotation about origin.

Step2: 180° rotation transformation

180° rotation: \( (x,y)
ightarrow(-x,-y) \).

Answer:

\( (x, y)
ightarrow (-x, -y) \)