Final answer:
Without specific details on Peg's sports history, basketball is a possible answer based on its popularity. Basketball was invented in Massachusetts in 1891 and is a significant part of American sports culture. For a definite answer, more information on Peg is required.
Step-by-step explanation:
To answer the question about the big sport that Peg used to play, it's crucial to have specific information regarding Peg's sports history, which is not provided in the question. However, considering the context clues given and the choices available, if we were to guess based on general popularity, basketball might be a possible answer. Invented in Springfield, Massachusetts, in 1891, basketball is deeply ingrained in American culture and is one of the most commonly played sports. Additionally, considering working-class urban dwellers, football games were listed as a popular pastime, which suggests that team sports were favored. While this does not directly answer the question about Peg's past sport, it gives us an idea of the popularity of such sports in an American context. For a definitive answer, specific information on Peg's sports participation is needed.
Regarding a Venn diagram for a high school with students who play tennis, soccer, or both, this is a graphical way to represent the relationships between different sets. Each circle represents a group of students, with one circle for tennis players and another for soccer players. The overlapping area represents students who play both sports.