4 diagonal
2 straight
6 alltogether
* * * * *
Unfortunately, not true.
A hexagon has 9 diagonals. A polygon with n vertices has 1/2*n*(n - 3) diagonals.
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9 diagonals
Six - three from diagonal to diagonal, three from midpoint of a side to midpoint to a side.
It has 9 diagonals
9
6 lines of symmetry for a 2-d hexagon