You will be given a trivia clue, and the category it belongs to. You should answer with the best answer that belongs in the category and is described by the clue. For consistency, answers should be in all lower cased letters.

Category: WORLD HISTORY 
Clue: In a 1918 treaty, this country gave up Ukraine but soon recovered it
russia

Category: TEEN POTPOURRI 
Clue: 3 teens were on the Team USA that won gold in August 2005 at the 26th World Championships of Twirling these
batons

Category: THE SHAPE OF THINGS 
Clue: Geometrically, this "great" polyhedron has a polygonal base & sides which come to a common vertex

a pyramid