Polygon
What is a polygon?
A simple closed curve made of three or more line-segments is called a polygon. A polygon has at least three line-segments.
Now, observe the following simple closed curves:
Curves 1, 3 and 4 are made of line segments only, while curves 2 and 5 are made of line segments and curves.
Curves 1, 3 and 4 are called polygons.
A simple closed curve made of line segments only is called a polygon.
Ali the following figures are polygons.
The line-segments of a polygon are named by the sides in it. Poly means many and gon means sides. Thus a polygon has many sides.
The different polygons having definite number of sides are given names according to the number of sides.
(i) A polygon with three sides is called a triangle.
or,
A polygon having three line segments is called a triangle.
The three line segments forming the triangle are its sides.
Triangle
(ii) A polygon with four sides is called a quadrilateral.
or,
A polygon having four line segments is called a quadrilateral.
Quadrilateral
(iii) A square is a quadrilateral whose all the four sides are equal.
(iv) A rectangle is a quadrilateral whose opposite sides are equal.
(v) A polygon with five sides is called a pentagon.
Pentagon
(vi) A polygon with six sides is called a hexagon.
Hexagon
Thus a polygon is given its name on the basis of the number of its sides.
Worksheet on Polygons:
1. Tick the polygons which are quadrilaterals:
2. Fill in the blanks:
(i) All the sides of a __________ are equal.
(ii) A polygon made of four line segments is called a __________ .
(iii) A polygon made of three line segments is called a __________ .
(iv) A simple closed curve made of line segments only is called a __________ .
(v) A closed curve which does not cross itself is called a __________ curve.
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