To find the missing endpoint, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint between two endpoints (x₁, y₁) and (x₂, y₂) are given by the average of the x-coordinates and the average of the y-coordinates.
In this case, we know that E is the midpoint, with coordinates (4, 3). One endpoint is F(5, 8).
Let's denote the missing endpoint as G(x, y).
Using the midpoint formula, we can set up the following equations:
x = (5 + x) / 2
4 = (8 + y) / 2
Simplifying these equations, we get:
2x = 5 + x
8 = 2(4) + y
Solving for x and y:
2x - x = 5
x = 5
8 = 8 + y
y = 0
Therefore, the missing endpoint G has coordinates (5, 0).