Question

write the coordinates of the vertices after a rotation 90° clockwise around the origin. k( , ) l( , ) m( , ) n( , )

Explanation:

Step1: Recall rotation rule

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

Step2: Find coordinates of $K$

The coordinates of $K$ are $(-8,4)$. After rotation, $K'=(4,8)$.

Step3: Find coordinates of $L$

The coordinates of $L$ are $(0,4)$. After rotation, $L'=(4,0)$.

Step4: Find coordinates of $M$

The coordinates of $M$ are $(0,6)$. After rotation, $M'=(6,0)$.

Step5: Find coordinates of $N$

The coordinates of $N$ are $(-8,6)$. After rotation, $N'=(6,8)$.

Answer:

$K'(4,8)$
$L'(4,0)$
$M'(6,0)$
$N'(6,8)$