The noun menace has 2 senses (first 2 from tagged texts)
1. (8) menace, threat -- (something that is a source of danger; "earthquakes are a constant threat in Japan")
2. (1) menace -- (a threat or the act of threatening; "he spoke with desperate menace")
Overview of verb menace
The verb menace has 3 senses (first 2 from tagged texts)
1. (1) endanger, jeopardize, jeopardise, menace, threaten, imperil, peril -- (pose a threat to; present a danger to; "The pollution is endangering the crops")
2. (1) menace -- (express a threat either by an utterance or a gesture; "he menaced the bank manager with a stick")
3. menace -- (act in a threatening manner; "A menacing person")