Final answer:
Neighborhood centers providing health care, education, and social programs to working-class urban residents were known as settlement houses, with Hull House being a prominent example from the Progressive Era.
Step-by-step explanation:
Neighborhood centers that provided health care, education, and social welfare programs were called settlement houses. These institutions emerged during the Progressive Era, around the 1890s to the early 1900s, and played a critical role in aiding urban working-class populations. One of the most famous settlement houses was Hull House, founded by Jane Addams in Chicago in 1889. Settlement houses like Hull House offered various services, including medical care, recreation programs, English classes, and services tailored to the needs of the community, often operated by college-educated women.