Final answer:
Aesha Ash overcame adversity to become a professional ballet dancer and started the Swan Dreams Project. The sentence emphasizing belief in one's dreams is most vital for a summary. Ash's success is attributed to her hard work and viewing the lack of black ballerinas as a challenge.
Step-by-step explanation:
The main idea of the article is that Aesha Ash overcame numerous challenges in pursuit of her dream to become a professional ballet dancer and later started the Swan Dreams Project, which teaches children to pursue their dreams regardless of their socioeconomic status or racial background, making option 4 the correct answer to the first question. Meanwhile, the sentence that is most critical to include in a summary of the article is, "All of the hard work and sacrifice paid off, she said. When you have a dream, believe it with all of your heart," as it encapsulates Ash's journey and the core message of the article, making option 4 the correct answer to the second question.
The author included information about Ash joining the New York City Ballet, dancing in Europe, and returning to the US to highlight that her persistence and dedication led to a successful international career, making option 1 the correct answer to the third question.
Facing the fact that there were few black ballet dancers, Ash took it as a challenge to succeed in ballet, indicating answer 2 as the correct characterization of Ash's reaction to the fourth question.