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• Geometry
• Polygons
• Number of diagonals in a polygon

# Number of diagonals in a polygon

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•  Question 1: 1 pts Which polygon does not have any diagonals?
 Hexagon Octagon Rectangle Triangle
•  Question 2: 1 pts For a convex $n-$sided polygon, there are $n$ vertices, and from each vertex you can draw $n-3$ diagonals.
•  Question 3: 1 pts The total number of diagonals of an $n-$ sided polygon is $$n\cdot (n-3).$$
•  Question 4: 1 pts If a polygon has $25$ vertex, find the number of diagonals who can be drawn from one vertex.
 $21$ $14$ $19$ $22$
•  Question 5: 2 pts Find the number of diagonals of a polygon if the number of vertices is $23.$
Number of diagonals$=$
•  Question 6: 2 pts Determine the total number of polygon diagonals if from each vertex you can draw 27 diagonals.
 $225$ $330$ $360$ $405$
•  Question 7: 2 pts A polygon has $65$ diagonals. How many sides will it have?
 $13$ $12$ $10$ $8$
•  Question 8: 2 pts There is a polygon who has $64$ diagonals.
•  Question 9: 3 pts Find a polygon whose total number of diagonals is three times greater than the number of its page.
 Triangle Nonagon Octagon Rectangle
•  Question 10: 3 pts Find a polygon whose total number of diagonals is three times greater than the number of diagonals that can be pulled from one vertex.
 Nonagon Octagon Hexagon none of these
•  Question 11: 3 pts The sum of total number of diagonals and the number of pages of a polygon is 45. Find the number of pages of that polygon.
 $14$ $13$ $11$ $10$
•  Question 12: 3 pts Determine the number of polygon diagonals if the ratio of the number of diagonals and the number of pages is 9: 2.
Number of polygon diagonals is $=$