Patterns & symmetry
A shape or an object has symmetry if it can be divided into two identical pieces. The identical pieces are the mirror images of one another. There are different objects in our surroundings that have symmetry.
Those Objects or shapes that have symmetry are called Symmetrical.
Many objects don’t have any symmetry. These objects don’t have identical pieces that are mirror images of one another.
Those Objects or shapes that don’t have any symmetry are called Asymmetrical.
Line of Symmetry
The imaginary line along which the figure can be folded to obtain the symmetrical halves is called the line of symmetry. The line of symmetry is a line that divides an object into two identical pieces. In the picture below some line of symmetry is shown for some objects and figures.
The line of symmetry can be seen for words and letters also.
Clearly, there are different types of lines of symmetry. Generally, there are three types of line of symmetry that can be observed and they are:
- Vertical line of symmetry
- Horizontal line of symmetry
- Diagonal line of symmetry
Vertical line of symmetry:
A vertical line of symmetry is a line that runs down vertically along with the object or figure which divides an image into two identical halves. Here some examples are given below.
Horizontal line of symmetry:
The horizontal line of symmetry is a line that divides a shape into two identical halves splitting it horizontally, from right to left or vice-versa. Here some examples are given below.
Diagonal line of symmetry:
A diagonal line of symmetry is a line that divides a shape into identical halves splitting it across the diagonal corners. Here some examples are given below.
Clearly, some objects can have more than one line of symmetry. Some shapes have all of the lines of symmetry, like circle and square.