Which ordered pair could represent the fourth vertex

To find the fourth vertex of a polygon, you need the coordinates of three known vertices. With these, you can either use the parallelogram rule or vector addition to determine the missing point. For example, if the known vertices are (1, 2), (3, 4), and (1, 4), you can calculate the fourth vertex by finding the average of the opposite corners or constructing geometric principles based on the figure you’re working with! Now, if you’re dealing with specific pairs, always check that they adhere to whatever geometric principles apply, like ensuring opposite sides are equal in length for a rectangle—don't just pluck any numbers out of thin air! It can lead to a non-viable solution, so paying close attention to the relationships between points is key. Happy calculating!