The coordinates of the pre-image are;
[tex]\begin{gathered} Z(-4,0) \\ J(-5,-2) \\ L(0,-3) \end{gathered}[/tex]The rotation of 90degrees counterclock wise is (-y, x), then;
[tex]\begin{gathered} \text{The new coordinates are;} \\ Z^{\prime}(0,-4) \\ J^{\prime}(2,-5) \\ L^{\prime}(3,0) \end{gathered}[/tex]