Use 'undamaged' to describe items preserved in their original state after a possible harm. After the earthquake, their house remained undamaged.
Pro Tip 2/3
Expectation of Harm
'Undamaged' is often used when there's an expectation that something might be damaged, but it isn't. Despite the rough transit, the package arrived undamaged.
Pro Tip 3/3
Emotional Relief
The word can convey relief that something has survived potentially damaging events. They were relieved to find their keepsakes undamaged by the flood.