Question

point $k$ has coordinates $(x,y)$. point $k$ is the image of point $k$ under a $180^{circ}$ rotation around the origin. what are the coordinates of $k$?
$(-y,x)$
$(x, -y)$
$(y, -x)$
$(-x, -y)$

Explanation:

Step1: Recall rotation rule

For a 180 - degree rotation around the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-x,-y)$.

Answer:

$(-x, -y)$