Question

write the coordinates of the vertices after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

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

Step2: Assume initial coordinates

Let's assume $J(-9,8)$, $K(-4,8)$, $L(-4,9)$, $M(-9,9)$ (by observing the grid).

Step3: Apply rotation rule to $J$

For $J(-9,8)$, using the rule $(x,y)\to(-y,x)$, we get $J'(-8, - 9)$.

Step4: Apply rotation rule to $K$

For $K(-4,8)$, using the rule $(x,y)\to(-y,x)$, we get $K'(-8,-4)$.

Step5: Apply rotation rule to $L$

For $L(-4,9)$, using the rule $(x,y)\to(-y,x)$, we get $L'(-9,-4)$.

Step6: Apply rotation rule to $M$

For $M(-9,9)$, using the rule $(x,y)\to(-y,x)$, we get $M'(-9,-9)$.

Answer:

$J(-8, - 9)$
$K(-8,-4)$
$L(-9,-4)$
$M(-9,-9)$