Question

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

Explanation:

Step1: Analyze the transformation rule

The rule $(x,y)\to(x,y)$ means the coordinates of each point of the parallelogram remain unchanged.

Step2: Recall rotation properties

A rotation of $360^{\circ}$ about the origin ($R_{0,360^{\circ}}$) brings a point back to its original position. A $90^{\circ}$, $180^{\circ}$, or $270^{\circ}$ rotation about the origin changes the coordinates of a point.

Answer:

D. $R_{0,360^{\circ}}$