To determine the shape formed by the coordinates (1, 1), (2, 3), (5, 3), and (4, 1), we can visualize or plot these points on a graph.
1. **Plot the Points:** Start by plotting each point on the Cartesian coordinate system:
- (1, 1)
- (2, 3)
- (5, 3)
- (4, 1)
2. **Join the Points:** Connect the points in the order they are given. If we connect them as follows:
- From (1, 1) to (2, 3)
- From (2, 3) to (5, 3)
- From (5, 3) to (4, 1)
- From (4, 1) back to (1, 1)
3. **Analyzing the Shape:** After connecting these points, we see that it forms a quadrilateral. Since two sides are horizontal lines (from (2,3) to (5,3) and from (4,1) to (1,1)), and it has varying lengths and angles, we can conclude that it is an irregular quadrilateral.
Thus, joining the coordinates (1, 1), (2, 3), (5, 3), and (4, 1) forms an irregular quadrilateral.