Question

plot the location of points g, h, and i after a 180° rotation around the origin. then enter the coordinates in the table.

point	coordinates
h
i

Explanation:

Step1: Recall rotation rule

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

Step2: Assume coordinates of original points

Let the coordinates of point $G$ be $(x_G,y_G)$, of point $H$ be $(x_H,y_H)$ and of point $I$ be $(x_I,y_I)$.

Step3: Find new coordinates

The coordinates of $G'$ are $(-x_G,-y_G)$, the coordinates of $H'$ are $(-x_H,-y_H)$ and the coordinates of $I'$ are $(-x_I,-y_I)$.

Answer:

Point	Coordinates
$H'$	$(-x_H,-y_H)$
$I'$	$(-x_I,-y_I)$