This question already has an answer here:
The 3x3 grid is given as below;
How many pentagons could be drawn by connecting the dots by lines in the grid?
- Pentagons could be convex or concave.
- The lines cannot intersect each other.
- If reflecting or rotating a pentagon forms the same pentagon you have already counted before, it should not be added.
Note: The other question referred as the duplicate question's answers are not right. and the OP is missing. That's why I believe this question should be solved here and accepted.