CK12 - Geometry

7. How manydiagonalscan you drawfrom one vertexof a pentagon?Drawa sketchof your answer.


8. How manydiagonalscan you drawfrom one vertexof an octagon?Drawa sketchof your answer.


9. How manydiagonalscan you drawfrom one vertexof a dodecagon?


10. Use your answersto 7, 8, and 9 and try moreexamplesif necessaryto answerthe question:How many
    diagonalscan you drawfrom one vertexof an -gon?

Answers

1. This is a convexpentagon.


2. Concaveoctagon.


3. Concave17-gon(notethat the numberof sidesis equalto the numberof vertices,so it may be easierto
   countthe points[vertices]insteadof the sides).


4. Concavedecagon.


5. Convexquadrilateral.


6. A is not a polygonsincethe two sidesdo not meetat a vertex;B is not a polygonsinceone side is curved;
   C is not a polygonsinceit is not enclosed.


7. The answeris 2.


8. The answeris 5.