1. The problem involves analyzing two polygons, Figure J and Figure K, on a Cartesian coordinate system. 2. Figure J has vertices approximately at $(-7,7)$, $(-5,3)$, $(-4,3)$, and $(-3,8)$. 3. Figure K has vertices approximately at $(4,-7)$, $(7,-6)$, $(6,-3)$, and $(2,-4)$. 4. To analyze these polygons, we can calculate properties such as area, perimeter, or transformations, but since no specific question is asked, we identify their positions and vertices. 5. Figure J is located in the second quadrant (top-left), and Figure K is located in the fourth quadrant (bottom-right). 6. Both polygons are quadrilaterals with four vertices each. 7. Without further instructions, the problem is to recognize and describe the polygons based on their vertices and positions. Final answer: Figure J is a quadrilateral in the second quadrant with vertices $(-7,7)$, $(-5,3)$, $(-4,3)$, $(-3,8)$, and Figure K is a quadrilateral in the fourth quadrant with vertices $(4,-7)$, $(7,-6)$, $(6,-3)$, $(2,-4)$.