Question

△jkl is rotated 90° counter - clockwise around the origin.

jkl	jkl
j(−2,4)	?
k(−2,2)	?
l(−4,2)	?

Explanation:

Step1: Recall rotation rule

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

Step2: Find $J'$

For $J(-2,4)$, using the rule $(-y,x)$, we substitute $x=-2$ and $y = 4$. Then $J'$ is $(-4,-2)$.

Step3: Find $K'$

For $K(-2,2)$, substituting $x=-2$ and $y = 2$ into the rule $(-y,x)$, we get $K'(-2,-2)$.

Step4: Find $L'$

For $L(-4,2)$, substituting $x=-4$ and $y = 2$ into the rule $(-y,x)$, we obtain $L'(-2,-4)$.

Answer:

$J'(-4,-2)$
$K'(-2,-2)$
$L'(-2,-4)$