### Instruction: How many distinct diagonals of a convex hexagon can be drawn?### Response: A convex hexagon has six vertices, and a diagonal is a segment that connects two non-adjacent vertices.
To count the diagonals, I can use the formula n(n-3)/2, where n is the number of vertices.
This formula comes from the fact that each vertex can be paired with n-3 other vertices to form a diagonal, but each diagonal is counted twice, once for each endpoint.
Plugging in n = 6, I get 6(6-3)/2 = 6(3)/2 = 9 diagonals.