quadrilateral abcd is transformed according to the rule (x, y) → (y, -x). which is another way to state the…

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

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

Answer

Brief Explanations:

The transformation rule $(x,y)\to(y, -x)$ represents a $270^{\circ}$ counter - clockwise rotation about the origin. The notation $R_{0,\theta}$ represents a rotation of $\theta$ degrees counter - clockwise about the origin $(0,0)$. When $\theta = 270^{\circ}$, the rotation rule for a point $(x,y)$ about the origin is $(x,y)\to(y,-x)$.

Answer:

$R_{0,270^{\circ}}$