The midpoint of UV is M(6, 4). One endpoint is U(5, 0). Find the coordinates of the other endpoint V.
Let the coordinates of the other endpoint V be (x, y).
Using the midpoint formula, the x-coordinate of the midpoint M is the average of the x-coordinates of U and V:
(5 + x) / 2 = 6
10 + 2x = 12
2x = 12 - 10
2x = 2
x = 1
Using the same logic for the y-coordinate, we find that:
(0 + y) / 2 = 4
y / 2 = 4
y = 8
Therefore, the coordinates of the other endpoint V are (1, 8).