Answer:
C) Rotate Counter clockwise 90º and Translate (x-2,y)
Explanation:
1) Rotating counterclockwise 90º the
![\bigtriangleup JKL \Rightarrow J'(2,-4), K(5,-4), \:L(2,-2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xuadtov1wtlik2vndb3hs3pcjip7c87qm9.png)
Rotating counterclockwise 90º rule is:
![(-y,x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5u74rvzgpizg8sxq1kwn5c7pa4mgo188w7.png)
We'll twist the values:
![\bigtriangleup J'K'L' \Rightarrow J(4,2) K(4,5), L(2,2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3h2ywdt24au3vpuobd8tr3hs9z8qms3bu3.png)
Check the picture below.
2) Now we need to translate ΔJ'K'L' following this rule
![(x-2,y)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/940nxbnkqmv18dzu08ip96o5xqe2x3267z.png)
to have ΔJ''K''L''
![\bigtriangleup J''K''L'' \Rightarrow J''(0,2), K''(2,5), \:L''(2,2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5szs3nqjhmn3253s6ulhifvze6j9fu0dfk.png)