what is a set of ordered pairs that, when connected in a specific sequence, will create a convex hexagon.
To find a set of ordered pairs that create a convex hexagon when connected, we need to consider the vertices of the hexagon and their arrangement.
A convex hexagon has six sides and all interior angles measuring less than 180 degrees. There are different ways to arrange the vertices to form a convex hexagon. One possibility is to use the following set of ordered pairs:
(0, 0), (1, 0), (1, 1), (0.5, 1.5), (0, 1), (0, 0.5)
This set of ordered pairs represents the (x, y) coordinates of six points in a specific sequence. When these points are connected in the given order, they form a convex hexagon with sides and angles that satisfy the definition of convexity.
It's important to note that this is just one example of a set of ordered pairs that form a convex hexagon. There are numerous other possible arrangements of vertices that would also create a convex hexagon.