Differences between Closed and Irregular Polygons

Polygons are closed geometric shapes with straight sides and angles. They can be classified based on different criteria, such as the number of sides, the length of the sides, the size of the angles, and the regularity of the shape. Two common types of polygons are closed and irregular polygons. Here are the main differences between them:



A closed polygon is a polygon that has all its sides connected to form a closed figure. In other words, the first and the last vertices of the polygon are the same. Here are some characteristics of closed polygons:

• They have a finite number of sides and angles.


• They enclose a region of space, like a fenced area.


• They can be convex or concave, depending on the shape of the angles.


• They can be regular or irregular, depending on the symmetry of the sides and angles.


• Examples of closed polygons are triangles, quadrilaterals, pentagons, hexagons, etc.

An irregular polygon is a polygon that does not have all its sides or angles equal or congruent. In other words, its sides and angles have different lengths and measures. Here are some characteristics of irregular polygons:

• They have a finite number of sides and angles.


• They can have any shape or size, as long as they meet the definition of a polygon.


• They can be convex or concave, depending on the shape of the angles.


• They cannot be regular, because the sides and angles are not symmetric.


• Examples of irregular polygons are trapezoids, parallelograms, rhombuses, kites, etc.

Conclusion

In summary, closed polygons are polygons that form closed figures, while irregular polygons are polygons that have different sides and angles. Both types of polygons have specific characteristics and can be used in different contexts, such as geometry, trigonometry, and engineering. Understanding the differences between them is important for solving problems and communicating ideas in these fields.

An irregular polygon does not have all congruent sides and angles.A polygon is closed when the segments do connect at the beginning and end. That is, you start to draw the line at a point and finish at the same point.