It's time for the Tuesday Brain Game:  Besides being six letters in length, what do these six-letter words all have in common?

ashore, budget, damage,
itself, option, teethe, zither  

Here is the SOLUTION.

THE SOLUTION:

Each word can be split into two three-letter words:
ashore = ash & ore
budget = bud & get
damage = dam & age
itself = its & elf
option = opt & ion
teethe = tee & the
zither = zit & her