Investigate!

When a connected graph can be drawn without any edges crossing, it is called planar. When a planar graph is drawn in this way, it divides the plane into regions called faces.

  1. Draw, if possible, two different planar graphs with the same number of vertices, edges, and faces.

  2. Draw, if possible, two different planar graphs with the same number of vertices and edges, but a different number of faces.

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