> Only if the document or their system has a photo of you. Usually driver's license is used for this.
In my experience, using the identity card is more common. Only drivers have a driver license, but nearly everybody has a identity card (and every identity card has a photo); and AFAIK, the identity card is one of the mandatory documents to get a driver license.
Not in the US at least. My driver's license is the only thing I have with a photo of me on it. There are state non-driver IDs but they're unusual to see.
The context was Brazil (see sibling reply a few levels up), and here indeed all identity cards have photos. Both the old per-state models and the newer federally standardized models have them, and nearly everyone has an identity card. It's not unusual to see identity cards being used everywhere; even some commercial buildings ask for (and take photos of) them from visitors (regulars have badges, and of course they had to present their identity card to get the badge).