Answers will vary.  A sample answer is shown.

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Teacher Note:

A network is a figure made up of points called vertices that are connected by segments called arcs.

A traversable network can be drawn without lifting the pencil off the paper or by drawing any

arc more than once.  A network is traversable if it has at most 2 odd vertices. 

To determine if a vertex is odd or even, count the number of segments drawn out of the vertex.[1]