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The number of diagonals increases by 1 when the number of vertices increases by 1.

A dodecagon (12 sides) will have 9 diagonals from any one vertex.

The number of diagonals from one vertex is the same for a convex hexagon as it is for a concave pentagon.

A nonagon (9 sides) will have 9 diagonals from any one vertex.

If you know the number of diagonals from any one vertex in a polygon, you can determine the number of sides that the polygon has.

True Conjectures
False Conjectures