The diagram that shows two figures intersecting at exactly four points is diagram 4
Two figures intersecting at exactly four points can be described as two non-identical plane curves or shapes that cross each other in such a way that they share exactly four points in common.
From the different diagrams shown, we can see that the last image with a square and a kite meet at the two side lengths and two side widths of the rectangle, thus, meeting at exactly four points,