[timlyo]

That's correct in the most of the English speaking world, apple juice is what it sounds like, cider is fermented apple juice (as far as I'm aware, it is in the UK). In American English cider is apple juice, and hard cider is fermented, alcoholic apple juice.

[mcdonje]

Correct that we call it hard cider if it's fermented. For non-fermented, we draw a distinction between apple juice and cider. Best explained by Flanders: https://youtu.be/L1BfF77Pvio?t=15