This statement is false.
In an octagon, which has 8 sides, the number of diagonals that can be drawn from one vertex can be calculated using the formula:
Diagonals from one vertex = n – 3, where n is the number of sides (or vertices) of the polygon.
For an octagon, substituting 8 for n:
Diagonals from one vertex = 8 – 3 = 5.
This means you can draw 5 diagonals from any one vertex of an octagon. Therefore, the correct number is 5, not 6, making the statement false.