Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Identify original coordinates

From the graph, the coordinates of point $G$ are $(3,1)$, of point $H$ are $(0,4)$ and of point $I$ are $(-2,3)$.

Step3: Apply rotation rule to point G

For $G(3,1)$, using the rule $(x,y)\to(y, - x)$, we get $G'(1, - 3)$.

Step4: Apply rotation rule to point H

For $H(0,4)$, using the rule $(x,y)\to(y, - x)$, we get $H'(4,0)$.

Step5: Apply rotation rule to point I

For $I(-2,3)$, using the rule $(x,y)\to(y, - x)$, we get $I'(3,2)$.

Answer:

The coordinates of $G'$ are $(1, - 3)$, the coordinates of $H'$ are $(4,0)$ and the coordinates of $I'$ are $(3,2)$.