The given set of coordinates consists of four points: (1, 1), (5, 3), (7, 7), and (3, 5). To determine the figure represented by these points, we can plot them on a Cartesian plane.
1. **Plot the Points**: Start by plotting the points on the grid. (1, 1) is in the first quadrant, (5, 3) is also in the first quadrant, (7, 7) is further up but still in the first quadrant, and (3, 5) is in between (5, 3) and (7, 7).
2. **Connecting the Dots**: Once the points are plotted, connect them in the order they are given: (1, 1) to (5, 3), (5, 3) to (7, 7), (7, 7) to (3, 5), and finally back to (1, 1). This will illustrate the figure formed by these coordinates.
3. **Identifying the Figure**: By connecting the points, we observe that they form a quadrilateral. The shape is not regular, as the lengths of the sides and the angles between them vary. However, we can conclude that these coordinates represent a polygon.
In summary, the coordinates (1, 1), (5, 3), (7, 7), and (3, 5) represent a quadrilateral on the Cartesian plane.