adopt

Where it comes from

Adopt came through French or directly from Latin adoptare, to choose or take for oneself, especially to take someone as a child. Latin formed it from ad, toward, and optare, to choose or desire.

How the meaning developed

The family sense and the wider act of choosing as one's own were both available early. That is why English can adopt a child, but also adopt a plan, custom, name, position, or tone.

In use

English can adopt a child, a plan, a name or a custom.
The shared idea is choosing or taking something as your own.