All of them are connected via common roots, namely tap, ballet, jazz music, and African-American rhythms and dance. Jazz dance originated from the African American vernacular dance of the late 1800s to the mid-1900s. An early popular "jazz dancer" was vaudeville star Joe Frisco in the 1910s.
noun. 1. a dance form or dance that is matched to the rhythms and techniques of jazz music, developed by American blacks in the early part of the 20th century. jazz dancer, noun.