#4: What is tricky about this is coordinating the vertices and edges of the triangle

Correct ways to split up the triangle V, F and E for correct ways Incorrect ways to split up the triangle What's wrong

 

V=3, E=3, F=2

3-3+2=2

 

 

Edges have to go between vertices, so there has to be at least one vertex.

V=1, E=1, F=2

1-1+2=2

Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex.

5. Again, it's the tricky triangles that cause the problems

Correct ways to split up the shape V, F and E for correct ways Incorrect ways to split up the shape What's wrong

 

V=2, E=3, F=3

2-3+3=2

 

 

Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex.

V=6, E=7, F=3

6-7+3=2

   

6. Surprise, surprise, it's tricky triangles that cause problems again (maybe I should have made up some problems with tricky squares)

Correct ways to split up the shape V, F and E for correct ways Incorrect ways to split up the shape What's wrong

 

V=2, E=3, F=3

2-3+3=2

 

 

Edges go between vertices. If there isn't a vertex, the edge just keeps going--an edge doesn't split into two edges without a vertex.

V=4, E=5, F=3

4-5+3=2