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

Assume the original coordinates of $K$ are $(4,10)$, of $L$ are $(6,10)$, and of $M$ are $(5,2)$.

Step3: Apply rotation rule to $K$

For $K(4,10)$, using the rule $(x,y)\to(-y,x)$, we get $K'(- 10,4)$.

Step4: Apply rotation rule to $L$

For $L(6,10)$, using the rule $(x,y)\to(-y,x)$, we get $L'(-10,6)$.

Step5: Apply rotation rule to $M$

For $M(5,2)$, using the rule $(x,y)\to(-y,x)$, we get $M'(-2,5)$.

Answer:

$K'(-10,4)$
$L'(-10,6)$
$M'(-2,5)$