Today our topic of discussion is Important Geometrical Concept of Symmetry.
Important Geometrical Concept of Symmetry
Symmetry
Symmetry is an important geometrical concept, commonly exhibited in nature and is used almost in every field of our activity. Artists, designers, architects, carpenters always make use of the idea of symmetry.
Tree-leaves, flowers, beehives, houses, tables, chairs -everywhere we find symmetrical designs. A figure has line symmetry, if there is a line about which the figure may be folded so that the two parts of the figure will coincide.
Each of the above figures has the line of symmetry.
Line of symmetry of a regular polygon
A polygon is a closed figure made of several line segments. A polygon is said to be regular if all its sides are of equal length and all its angles are equal. The triangle is a polygon made up of the least number of line segments.
An equilateral triangle is a regular polygon of three sides. An equilateral triangle is regular because its sides as well as angles are equal. A square is the regular polygon of four sides.
The sides of a square are equal and each of the angles is equal to one right angle. Similarly, in regular pentagons and hexagons, the sides are equal and the angles are equal as well.
Each regular polygons is a figure of symmetry. Therefore, it is necessary to know their lines of symmetry. Each regular polygon has many lines of symmetry as it has many sides.
The concept of line symmetry is closely related to mirror reflection. A geometrical figure has line symmetry when one half of it is the mirror image of the other half. So, the line of symmetry is also called the reflection symmetry.
See more: