Question

what are the coordinates of g, h, and i after a rotation about (0,0) by 90 degrees clockwise? plot these points on the grid, and label them g, h and i.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin $(0,0)$ is $(x,y)\to(y, - x)$.

Step2: Find coordinates of $G$

The coordinates of $G$ are $(-1,3)$. Using the rotation rule, $x=-1$ and $y = 3$, so $G'=(3,1)$.

Step3: Find coordinates of $H$

The coordinates of $H$ are $(-4,0)$. Using the rotation rule, $x=-4$ and $y = 0$, so $H'=(0,4)$.

Step4: Find coordinates of $I$

The coordinates of $I$ are $(2,-2)$. Using the rotation rule, $x = 2$ and $y=-2$, so $I'=(-2,-2)$.

Answer:

$G'=(3,1)$
$H'=(0,4)$
$I'=(-2,-2)$