Class 6 Maths Basic Geometrical Ideas Polygons

Polygons

A polygon is a closed figure bounded by three or more line segments that intersect exactly to form a closed curve.

Some examples of polygon,

Basic Terms in Polygons

  • Sides: The line segments that forms a polygon is termed as sides. From the above polygon, we can say that line segment AB, BC, CD, DA are four sides of the polygon.
  • Vertex: The meeting of two sides is termed as vertex. From the above polygon, we can say that A is a vertex as DA and AB meets at A. Similarly, B, C and D are also vertices of the polygon.
  • Adjacent Sides: In a polygon, any two sides that has a common end are termed as adjacent sides. From the above polygon, we can say that sides CD and BC are adjacent as they terminate at a common end C. Similarly, sides AB and DA, AB and BC, CD and DA are also adjacent.
  • Adjacent Vertices: End points of the same side of the polygon are termed as adjacent vertex. From the above polygon, we can say that C and D are adjacent vertices while A and C are not adjacent vertices.
  • Diagonals: The line joining the non-adjacent vertices of a polygon is termed as diagonals. From the above polygon, we can say that line segment AC and DB are the diagonals of the polygon.

Question: Illustrate, if possible, each one of the following with a diagram: A closed curve that is not a polygon, A polygon with two side

Solution:

A closed curve that is not a polygon

 

 A polygon with two side : A polygon with two sides are not possible; as a polygon is a closed figure so minimum three sides are required to form close diagram.

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