The correct answers are:

1. A. the
2. C. many
3. A. our
4. B. a community center
5. B. and
6. B. cohesive
7. A. a
8. C. so
9. A. active

Here's a breakdown of why these are the correct choices:

1. "a vibrant and supportive environment" needs an article before it. Since it's referring to a general environment, we use "the".
2. "many" is the correct choice to quantify the number of local events and initiatives.
3. "our" is the possessive pronoun that matches with "community."
4. "a community center" is the most appropriate option for a place where people can gather to grow produce, share gardening tips, and enjoy the benefits of working together.
5. "and" connects the ideas of supporting local businesses and attending town festivals.
6. "cohesive" is the adjective form that means "having or showing unity."
7. "a thriving place" needs an article before it. Since it's referring to a general place, we use "a".
8. "so" introduces the result of taking part in local activities and supporting community projects.
9. "active" is the adjective form that matches with "members."