Solution
- The coordinates of the figure given are:
[tex]\begin{gathered} M(-9,-3) \\ L(-2,-3) \\ J(-9,-8) \\ K(-2,-8) \end{gathered}[/tex]- The 90-degree counterclockwise rotation has the following transformation:
[tex](x,y)\to(-y,x)[/tex]- Thus, the coordinates of the figure after a 90-degree counterclockwise rotation is:
[tex]\begin{gathered} M(-9,-3)\to M^{\prime}(3,-9) \\ L(-2,-3)\to L^{\prime}(3,-2) \\ J(-9,-8)\to J^{\prime}(8,-9) \\ K(-2,-8)\to K^{\prime}(8,-2) \end{gathered}[/tex]Final Answer
[tex]\begin{gathered} M^{\prime}(3,-9) \\ L^{\prime}(3,-2) \\ J^{\prime}(8,-9) \\ K^{\prime}(8,-2) \end{gathered}[/tex]