Is Figure a Polygon? Examining Edges of the Image

In summary, the figure could be described as a polygon, but not a "simple polygon". A polygon that intersects itself is called a "polygon". The middle line segment would be two edges.
  • #1
Suyogya
14
0
Can someone please tell is this (https://ibb.co/stGFSKs) figure a polygon. If yes then is the middle line would count as an edge?

15487814949745525543992389032260.jpg
 

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  • #2
Yes, it could be described as a polygon - but not a "simple polygon".
https://en.wikipedia.org/wiki/Polygon

If the left edge from top to bottom is A, B, D and the right edge from top to bottom is A, C, E:
Then this could be described as polygon ABCBDECA or ABCEDCDA.

Thus, it would be a polygon that intersects itself.
polygons that do not intersect themselves are called "simple polygons".

Oh, and to answer your follow-on question: The middle line segment would be two edges.
 
  • #3
.Scott said:
Yes, it could be described as a polygon - but not a "simple polygon".
https://en.wikipedia.org/wiki/Polygon

If the left edge from top to bottom is A, B, D and the right edge from top to bottom is A, C, E:
Then this could be described as polygon ABCBDECA or ABCEDCDA.

Thus, it would be a polygon that intersects itself.
polygons that do not intersect themselves are called "simple polygons".

Oh, and to answer your follow-on question: The middle line segment would be two edges.
let be name the points as,(https://ibb.co/2srLjB1) if AC would be an edge then A and C are vertices and segments BC, AC, AD, CE became edges. Is this justified Also for a simple polygon there should be no self intersecting edge, the line AC just touches the lines BD and BE, is this sufficient to fulfill the intersecting condition?
 
  • #4
.With your new point labels, the polygon would be either BACADECB or BADECACB.
In order for it to be a polygon, you need to close the loop - end at the same place you started.
I am not sure I am interpreting your statements correctly, but it doesn't sound as though you are following that rule.
 
  • #5
Suyogya said:
Can someone please tell is this (https://ibb.co/stGFSKs) figure a polygon. If yes then is the middle line would count as an edge?
To me, the question isn't answerable: either you define a polygon one way or the other, either allow straight angles or don't.
 
  • #6
.Scott said:
.With your new point labels, the polygon would be either BACADECB or BADECACB.
In order for it to be a polygon, you need to close the loop - end at the same place you started.
I am not sure I am interpreting your statements correctly, but it doesn't sound as though you are following that rule.
thanks for correcting
 

1. Is a figure considered a polygon if it has curved edges?

No, a figure is not considered a polygon if it has curved edges. A polygon is a closed shape with straight edges and vertices, so any figure with curved edges would not meet this definition.

2. How can I determine if a figure is a polygon?

To determine if a figure is a polygon, you can check if it meets the definition of a polygon. A polygon is a closed shape with straight edges and vertices. If the figure has these characteristics, then it can be considered a polygon.

3. Can a figure have an infinite number of edges and still be considered a polygon?

No, a figure cannot have an infinite number of edges and still be considered a polygon. A polygon must have a finite number of edges and vertices in order to meet the definition of a polygon.

4. Are all polygons the same shape?

No, not all polygons are the same shape. Polygons can have different numbers of sides and angles, which can result in different shapes. For example, a triangle and a square are both polygons, but they have different shapes.

5. Is a circle considered a polygon?

No, a circle is not considered a polygon. A circle does not have straight edges and vertices, which are necessary characteristics for a shape to be considered a polygon. A circle is a type of curve, not a polygon.

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