What Is Line Of Symmetry

The line of symmetry is the line which passes through the center of the object or any shape. It is considered equally the axis or imaginary line of the object. In geometry, yous must have learned well about the term symmetry which is divers as a balanced and a proportionate similarity found in two halves of an object, that is, i-half is the mirror image of the other half.

For example, if we cutting an apple in two equal halves, then the slice of apple is said to be in symmetry with another. 1 more good example is to imagine if nosotros cutting an equilateral triangle into 2 equal halves, then the ii triangles formed after the intersection is the right-angled triangles. Few more than examples such every bit foursquare, rectangle, circle, can likewise exist considered for line symmetry.

Line of Symmetry Definition

The imaginary line or axis along which you lot can fold a figure to obtain the symmetrical halves is called the line of symmetry. It is also termed as the centrality of symmetry. The line symmetry is as well called a mirror line because information technology presents two reflections of an paradigm that coincide. Therefore, information technology is also a type of reflection symmetry. It basically divides an object into two halves. In that location may be one or more lines of symmetry. In fact, a shape may have:

No line of symmetry which implies that the effigy is asymmetrical
Space lines of symmetry
One line of symmetry
Two lines of symmetry
Multiple (more than ii) lines of symmetry

Symmetry has many types such as: no line of symmetry, space lines of symmetry, one and 2 lines of symmetry in detail. In that location are many shapes which are irregular and cannot be divided into equal parts. Such shapes are termed every bit asymmetrical shapes. Hence, for such cases, line symmetry is not applicable. Here, permit'south focus on shapes with types of lines of symmetry.

As well, read:

Symmetry
2 Lines Symmetry
Rotational Symmetry

Types of Lines of Symmetry

The lines or axes may be whatsoever combination of vertical, horizontal and diagonal. But basically there are two types of lines of symmetry, they are:

Vertical Line of Symmetry
Horizontal Line of Symmetry

Vertical Line of Symmetry

The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry. The mirror paradigm of the other one-half of the shape tin be seen in a vertical or straight standing position. Some of the alphabets such every bit A, H, Grand, O, U, V, W, T, Y tin be divided vertically in symmetry.

Horizontal Line of Symmetry

The symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry. That means the axis here crosses across the shape to cut it into two equal parts. The English alphabets such as B, C, H, E, are the examples of horizontal symmetry.

Three Lines of Symmetry

An equilateral triangle has well-nigh three lines of symmetry. It is symmetrical along its three medians.

Three Lines of Symmetry

Another patterns also have three lines of symmetry.

Three Lines of Symmetry

4 Lines of Symmetry

A square is symmetrical along four lines of symmetry, two along the diagonals and 2 forth with the midpoints of the contrary sides.

Four Lines of Symmetry

Some other patterns also have four lines of symmetry.

Four Lines of Symmetry

Five Lines of Symmetry

A regular pentagon has around five lines of symmetry. The lines joining a vertex to the mid-point of the contrary side divides the figure into 10 symmetrical halves.

Five Lines of Symmetry