Question

follow the guided instructions below to rotate the figure 90° clockwise about the origin. fill out all of the corresponding points of the image figure. animate rotation again pre - image image (-7,-7) → (-3,-8) → (-5,-4) → try values

Explanation:

Step1: Recall rotation rule

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

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

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

Step3: Apply rule to $(-3,-8)$

For the point $(-3,-8)$, using the rule $(x,y)\to(y, - x)$, we have $(-3,-8)\to(-8,3)$.

Step4: Apply rule to $(-5,-4)$

For the point $(-5,-4)$, by the rule $(x,y)\to(y, - x)$, we obtain $(-5,-4)\to(-4,5)$.

Answer:

$(-7,-7)\to(-7,7)$
$(-3,-8)\to(-8,3)$
$(-5,-4)\to(-4,5)$