That date is a Saturday, so there is no official airing of the show Jeopardy, hence, there is no final Jeopardy category.
The final category for September 25 2009 is Animals
The final Category on October 5 2009 is Landmarks
The final Category on November 10 2009 is Architecture
Category: Poets
The final Category on November 17 2009 is Movies & Dance
The final Category on November 18 2009 is The 18th century
The final Category on October 1 2009 is Geographic Names
The final Category on October 2 2009 is Emmy Winners
The final Category on October 6 2009 is Biography Subjects
The final Category on October 7 2009 is American History
The final Category on November 19 2009 is Film Directorsfilm director