He wears a traje de luces - a suit of lights.
Matador.
Matador is a person who fights bulls, he will bait and usually kill a bull in an arena.
A horseback matador is a rejoneador. He fights bulls from expensive and specially trained horses. That is different than a picador. The picador is the torero whose job is to weaken the tossing muscle of the bull. He does not kill the bull and, therefore, is not a matador.
A matador fights on foot. A rejoneador fights from horseback on specially trained horses. Some matadors, such as Carlos Arruza (died in the 1960s), have done both.
Chances are, if the matador was not threatening the bull, he would be ignored. If the matador approaches the bull and enters his territory, the bull will charge.
Toreador is French and related to the Spanish word torero. Torero includes anyone who fights bulls including banderilleros and picadores and matadores. Only the matador kills the bull. The word toreador is never used in Spain or Mexico. It is only used in France.
The bull will do nothing if he simply sees a matador unless he feels threatened or is provoked. It that case the bull will probably charge the matador.
A Matador
Yes, the bull is killed in traditional Portuguese bullfights. After a series of confrontations and dramatic performances by the matadors, the bull is stabbed by the matador using a sword, resulting in its death.
a bull
The matador kills the bull.
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