Let's begin by identifying key information given to us:
[tex]I(-3,-4),J(-4,0),K(-3,0),L(0,-2)[/tex]
We are to rotate the figure 90 degrees counterclockwise about the origin. The transformation is mapped by the formula:
[tex]\begin{gathered} A\mleft(x,y\mright)\rightarrow A^{\prime}\mleft(-y,x\mright) \\ I(-3,-4)\rightarrow I^{\prime}(4,-3) \\ J\mleft(-4,0\mright)\rightarrow J^{\prime}(0,-4) \\ K\mleft(-3,0\mright)\rightarrow K^{\prime}(0,-3) \\ L\mleft(0,-2\mright)\rightarrow L^{\prime}(2,0) \end{gathered}[/tex]
