You have the Quadrilateral JKLM shown in the picture. The coordinates of its vertices are:
[tex]\begin{gathered} J(3,3) \\ K(5,-5) \\ L(-3,-7) \\ M(3,-3) \end{gathered}[/tex]
By definition, the rule for a Rotation of 270 degrees centered at the Origin is:
[tex]\mleft(x,y\mright)\to(y,-x)[/tex]
Since you know the coordinates of the Pre-Image (Quadrilateral JKLM), you can apply this rule to find the coordinates of its Image (Quadrilateral J'K'L'M'). Then, you get:
[tex]\begin{gathered} J(3,3)\rightarrow J^{\prime}(3,-3) \\ K(5,-5)\rightarrow K^{\prime}(-5,-5) \\ L(-3,-7)\rightarrow L^{\prime}(-7,3) \\ M(3,-3)\rightarrow M^{\prime}(-3,-3) \end{gathered}[/tex]
Knowing these coordinates, you can draw the Quadrilateral J'K'L'M'
