> 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).
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.