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: Identify original coordinates

From the graph, the coordinates of point $J$ are $(-8,3)$, of point $K$ are $(-8,9)$, and of point $L$ are $(-2,0)$.

Step3: Apply rotation rule to point $J$

For $J(-8,3)$, using the rule $(x,y)\to(-y,x)$, we get $J'(-3, - 8)$.

Step4: Apply rotation rule to point $K$

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

Step5: Apply rotation rule to point $L$

For $L(-2,0)$, using the rule $(x,y)\to(-y,x)$, we get $L'(0,-2)$.

Answer:

$J'(-3,-8)$
$K'(-9,-8)$
$L'(0,-2)$