Question

1. rotation 90° clockwise about the origin
2. rotation 90° counterclockwise about the origin

f(-4, 4), g(-4, 5), h(1, 3), i(-3, 2)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point F

For point $F(-4,4)$, substituting $x = - 4$ and $y = 4$ into the rule, we get $(-4,4)\to(-4,-4)$.

Step3: Apply rule to point G

For point $G(-4,5)$, substituting $x=-4$ and $y = 5$ into the rule, we get $(-4,5)\to(-5,-4)$.

Step4: Apply rule to point H

For point $H(1,3)$, substituting $x = 1$ and $y = 3$ into the rule, we get $(1,3)\to(-3,1)$.

Step5: Apply rule to point I

For point $I(-3,2)$, substituting $x=-3$ and $y = 2$ into the rule, we get $(-3,2)\to(-2,-3)$.

Answer:

The new points are $F'(-4,-4),G'(-5,-4),H'(-3,1),I'(-2,-3)$