Question

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

Explanation:

Step1: Identify original coordinates

$N(7, 0)$, $L(10, 3)$, $M(10, 9)$

Step2: Apply 90° CCW rotation rule

For a point $(x,y)$, new point is $(-y, x)$

Step3: Calculate $N'$

$N' = (0 \times -1, 7 \times -1) = (0, -7)$

Step4: Calculate $L'$

$L' = (-3, 10 \times -1) = (-3, -10)$

Step5: Calculate $M'$

$M' = (-9, 10 \times -1) = (-9, -10)$

Answer:

$N'(-0, -7)$, $L'(-3, -10)$, $M'(-9, -10)$