Hinge on

a jointed device or flexible piece on which a door, gate, shutter, lid, or other attached part turns, swings, or moves.

a natural anatomical joint at which motion occurs around a transverse axis, as that of the knee or a bivalve shell.

that on which something is based or depends; pivotal consideration or factor.

Also called mount. Philately . a gummed sticker for affixing a stamp to a page of an album, so folded as to form a hinge, allowing the stamp to be raised to reveal the text beneath.

to be dependent or contingent on, or as if on, a hinge (usually fol. by on or upon )

Everything hinges on his decision.

to furnish with or attach by a hinge or hinges.

to attach as if by a hinge.

to make or consider as dependent upon; predicate

He hinged his action on future sales.

verb

depend on , hang on , hang upon , rest on , turn on , turn upon