Polygons and its Classification
Polygons and its Classification
Polygons and Its Classification: A simple closed curve made up of only line segments is called a polygon. Examples of polygons are Squares, Rectangles, Pentagons etc. You should note that The sides of a polygon do not cross each other. For example, the figure given below is not a polygon because its sides cross each other.
Classification of Polygons on the Basis of Number of Sides / Vertices: Polygons are classified according to the number of sides they have. The following lists the different types of polygons based on the number of sides they have:
Diagonals: A diagonal is a line segment connecting two non-consecutive vertices of a polygon. In the given, PR and QS are the diagonals.
Polygons on the Basis of Shape: Polygons can be classified as concave or convex based on their shape. A concave polygon is a polygon in which at least one of its interior angles is greater than 90∘. Polygons that are concave have at least some portions of their diagonals in their exterior. A convex polygon is a polygon with all its interior angle less than 180∘. Polygons that are convex have no portions of their diagonals in their exterior.
Polygons on the Basis of Regularity: Polygons can also be classified as regular polygons and irregular polygons on the basis of regularity. When a polygon is both equilateral and equiangular it is called as a regular polygon. In a regular polygon, all the sides and all the angles are equal. Example: Square. A polygon which is not regular i.e. it is not equilateral and equiangular, is an irregular polygon. Example: Rectangle
Identify the polgon
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Identify the polygon
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How many diagonals does a convex quadrilateral has ? | |||
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Students / Parents Reviews [20]
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7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
