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English word jeopardize comes English jeopardy, which in turn comes from Old French jeu parti - a (fairly) divided game, i.e. a situation in a game where both sides have an equal chance of winning
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jeu (Old French)
Game
parti (Old French)
Side. Left. Lost. Divided.
jeu parti (Old French)
Evenly divided game - a game where the chances of win or loss are evenly balanced
jeopardy (English)
Danger of loss, harm, or failure. (transitive, archaic) To jeopardize; to endanger.
-ize (English)
Used to form verbs from nouns or adjectives, the verbs having the sense of "to make what is denoted by the noun/adjective".
jeopardize (English)
(US) To put in jeopardy, to threaten.