Question

rotations
a pentagon is transformed according to the rule $r_{0,180^{circ}}$. which is another way to state the transformation?
$(x,y)\to(-y, -x)$ $(x,y)\to(x, -y)$ $(x,y)\to(-x,y)$ $(x,y)\to(-x, -y)$

Explanation:

Step1: Recall rotation rule

A rotation of $180^{\circ}$ about the origin $(0,0)$ for a point $(x,y)$ changes its coordinates.

Step2: Apply rotation formula

The rule for a $180^{\circ}$ rotation about the origin is $(x,y)\to(-x,-y)$.

Answer:

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