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In short:
The Pentagon
In Long:
The formula for the number of diagonals is
(x*(x-3))/2
So if you make that equal to x you get 5.
(x(x-3))/2=x
(x^2-3x)/2=x
x^2-3x=2x
x^2-5x=0
x=0 or x-5=0
x=0 or x=5
x=5
Because there is no polygon with 0 sides and the pentagon is defined as a polygon with 5 sides, the pentagon is the only regular polygon with the same amount of diagonals as it has sides.
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∙ 11y ago
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Does a polygon have more angles or sides explain?
A polygon has exactly the same number of both internal and external angles to the number of sides. Assuming external angles count, there are two times the number of sides as the total number of angles
What relationship exist between the number of sides on a regular polygon and the number of lines of symmetry?
They are the same.
What is a polygon with all sides the same length and all angles the same measure called?
A polygon with all sides the same length and all angles the same measure is called a regular polygon. Examples include triangles, squares, pentagons, and hexagons. When the number of sides approaches infinity, the shape of a circle is formed.
How many straight lines is formed for a polygon?
It depends. A polygon can have any number of sides, in the same way as a circle can have any radius.
Polygon with sides and angles that are not congruent?
a polygon with 4 right angles and 4 sides of the same length
How many diagonals can be drawn from one vertex of a 12 sided polygon?
10 ... any polygon it is 2 less than the number of sides or vertices wince they are the same.
What are two numerical ways in finding the total sum of diagonals in any polygon?
1. Number of diagonals = 0.5*(n2-3n) where n represents the number of sides2. If a polygon had 8 sides write out the numbers in descending order leaving out the first 2 numbers and the last number and adding them up gives the amount of diagonals:-6+5+4+3+2 = 20 diagonalsIf it had 9 sides then do the same:-7+6+5+4+3+2 = 27 diagonals
How does a polygon have the same number of sides and angles?
i don't really get the "same number of sides" ----- the angles of a polygon are the same with other angles within the polygon, if it is a regular polygon, and there a formula for getting the total sum of angles which is 180X(N-2) where N is the number of sides.
How does the number of vertices of a polygon compare to the number of sides of the same polygon?
They are equal.
What is the relationship between the number of sides and number of angles a polygon has?
A polygon has the same number of sides and angles.
A polygon has 12 sides how many vertices does the polygon have?
Twelve. The number of sides and vertices in a polygon are always the same.
Does a polygon usually have more sides then angles?
No. A polygon has exactly the same number of angles as sides.
How many diagonals in a 9 sided polygon?
It depends. It doesn't have to always be the same shape. So it can be 0, it can be 1, as long as it has straight lines and is a closed figure, it's a polygon. * * * * * What? A polygon with n sides has n*(n-3)/2 diagonals. Simple as that. So a 9 sided polygon has 9*6/2 = 27 diagonals.
How many diagonals are in an irregular polygon?
The formula which tells you the number of diagonals possible in a regular polygon is:the number of points (or sides), which we will call 'n', multiply by (n-3). Then divide the answer by 2.This will give you the number of diagonals.Formula: n X (n-3)/2ExamplesA square has four sides.4 X (4-3) = 2Divide 2 by 2 = 2So a square, a 4-sided polygon, has two diagonals.A pentagon has five sides5 X (5-3) = 10Divide 10 by 2 = 5So a 5-sided polygon has 5 diagonalsUsing the same formula we can calculate the number of diagonals of any regular polygon.e.g. 13-sides13 X (13-3) = 130Divide 130 by 2 = 65So a 13-sided polygon has 65 diagonals!If a polygon is irregular, meaning that its sides are of different lengths, and if all the points of the polygon are pointing outwards, the same formula holds true.But if the polygon is so irregular that some of its angles point inwards, there is no way of computing the number of diagonals because, in some irregular polygons, some potential diagonals may be impossible to reach from one point to the other without going outside the boundary of the polygon.
Does a polygon have the same number of sides and angles?
Yes.
Does a polygon have to have the same number of sides as corners?
yes
Does a polygon uselly have more sides or moe angles explain?
Any polygon has the same number of sides and angles
