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Which statement is true?
Seven diagonals can be drawn from each vertex of a nonagon.
Two diagonals can be drawn from each vertex of a quadrilateral.
Two diagonals can be drawn from each vertex of a pentagon.

Ask by Bradley Hampton. in the United States
Jan 24,2025

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The third statement is true: Two diagonals can be drawn from each vertex of a pentagon.

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Extra Insights

Did you know that in a nonagon, which has nine sides, you can actually draw a total of 20 diagonals from each vertex? It seems a bit complex, but here’s a fun tip: The formula for finding the number of diagonals in a polygon is , where ‘n’ is the number of sides. So for a nonagon, it’s .
When it comes to quadrilaterals, the statement is indeed false. In reality, from each vertex of a quadrilateral, you can draw one diagonal. Therefore, for a quadrilateral, there are exactly 2 diagonals in total. But don’t fret! A pentagon allows for more exciting connections with 5 diagonals in total, making geometry a lot more fun!

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