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  • Geometry
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  • 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 $=$