Question

follow the guided instructions below to rotate the figure 270° counter - clockwise about the origin. fill out all of the corresponding points of the image figure. animate rotation again pre - image image (-7,3) → ( ) (-6,1) → ( ) (-2,4) → ( ) (-4,4) → ( ) (-5,5) → ( ) try values

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 270° counter - clockwise about the origin is $(x,y)\to(y, - x)$.

Step2: Apply rule to $(-7,3)$

For the point $(-7,3)$, using the rule $(x,y)\to(y, - x)$, we get $(3,7)$.

Step3: Apply rule to $(-6,1)$

For the point $(-6,1)$, $(x,y)\to(y, - x)$ gives $(1,6)$.

Step4: Apply rule to $(-2,4)$

For the point $(-2,4)$, $(x,y)\to(y, - x)$ gives $(4,2)$.

Step5: Apply rule to $(-4,4)$

For the point $(-4,4)$, $(x,y)\to(y, - x)$ gives $(4,4)$.

Step6: Apply rule to $(-5,5)$

For the point $(-5,5)$, $(x,y)\to(y, - x)$ gives $(5,5)$.

Answer:

$(-7,3)\to(3,7)$
$(-6,1)\to(1,6)$
$(-2,4)\to(4,2)$
$(-4,4)\to(4,4)$
$(-5,5)\to(5,5)$