Question

a parallelogram is transformed according to the rule (x, y) → (x, y). which is another way to state the transformation?
○ $r_{0, 90°}$
○ $r_{0, 180°}$
○ $r_{0, 270°}$
○ $r_{0, 360°}$

Explanation:

Step1: Recall rotation rules

Rotation notation $R_{O,\theta}$ means rotation about origin $O$ by $\theta$ degrees. A rotation that maps $(x,y)$ to $(x,y)$ leaves the point unchanged.

Step2: Identify equivalent rotation

A $360^\circ$ rotation about the origin brings any point back to its original position, so $R_{O,360^\circ}(x,y)=(x,y)$.

Answer:

A. $R_{O,360^\circ}$