Having grown up with only UK terms, this is a question I hadn’t heard before finding crochet on the internet - mostly in US terms.
It might help those who find it hard to swap between the two sets of terms to know US terms relate to HOW MANY TIMES YOU DRAW THROUGH LOOPS. UK terms relate to HOW MANY LOOPS ARE ON THE HOOK!
The terms are almost the same, except in US terms, sc (single crochet) takes the place of dc (double crochet) in UK terms. Then the terms all move up one step - US dc becomes tr (treble or triple) UK, etc.
So in US terms, sc means draw through once, dc means draw through twice.
In UK terms dc means there are two loops on the hook before drawing through, tr means three loops on the hook before drawing through.
In both terms, all basic stitches relate to drawing through two loops until there is only one left.
So don’t be afraid if you see a different set of terms...