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Q: Can all vertex edge graphs be solved?
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Where are the lines of symmetry for a pentagon?

In a regular pentagon, the lines of symmetry are drawn from each vertex to the midpoint of the edge directly opposite the vertex, so there are five in all.


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Try to picture a rectangular prism.An edge, first of all, is the line from a vertex to a vertex. The top has 4 edges and the bottom has 4. Then the connecting 4 edges, which is a total of 12 edges.


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You can't trace this graph without going twice over the same edge. In this graph four vertices have degrees 3 (odd) and one has degree 4 (even). In graphs traceable without lifting pencil off the paper and without going over the same edge twice all degrees must be even (enter and leave), and only two degrees can be odd (leave the starting vertex and enter the ending one). Hope this helps.


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