What is the Symmetry in Geometrical Shapes
Symmetry in Geometrical Shapes
We know that a polygon is a closed figure with three or more line segments. A polygon is called a regular if all of its sides and angles are equal. Thus, an equilateral triangle is a regular polygon of three sides. Similarly, a regular polygon of four sides is a square. The regular polygons are symmetrical figures and they have as many lines of symmetry as they have sides or vertices.
(i) An equilateral triangle has three lines of symmetry
(ii) A square has four lines of symmetry
(iii) A pentagon has five lines of symmetry
Note: A regular polygon has as many lines of symmetry as the number of sides.
Other geometrical figures (polygons that are not regular) also have lines of symmetry but not as many as the number of sides.
(i) An isosceles triangle has one line of symmetry
(ii) A rectangle has two lines of symmetry
(iii) A Scalene triangle has no line of symmetry