Diagonal Trace

You can trace over all of the diagonals of a pentagon without lifting your pencil and without going over any more than once. Can the same thing be done with a hexagon or with a heptagon?
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A pentagon has five diagonals (lines drawn between the corners). You can trace over all of the diagonals without lifting your pencil and without going over any more than once. Try it.

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Diagonal Trace


Can the same thing be done with a hexagon (6 sides) or with a heptagon (7 sides)?

(Take care to find ALL the diagonals. Drawing a large shape will help.)