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Number Of Lines Of Symmetry

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

For example, if we cutting an apple in ii equal halves, then the piece of apple tree is said to be in symmetry with another. I more good case is to imagine if we cut an equilateral triangle into two equal halves, then the two triangles formed after the intersection is the right-angled triangles. Few more than examples such as square, rectangle, circumvolve, can too be considered for line symmetry.

Line of Symmetry Definition

The imaginary line or axis along which you can fold a effigy to obtain the symmetrical halves is called the line of symmetry. Information technology is also termed as the axis of symmetry. The line symmetry is also called a mirror line because it presents two reflections of an image that coincide. Therefore, it is also a blazon of reflection symmetry. It basically divides an object into ii 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 figure is asymmetrical
  • Infinite lines of symmetry
  • One line of symmetry
  • Ii lines of symmetry
  • Multiple (more than than 2) lines of symmetry

Symmetry has many types such as: no line of symmetry, infinite lines of symmetry, ane and 2 lines of symmetry in detail. There are many shapes which are irregular and cannot be divided into equal parts. Such shapes are termed as asymmetrical shapes. Hence, for such cases, line symmetry is not applicable. Here, allow'south focus on shapes with types of lines of symmetry.

Too, read:

  • Symmetry
  • Two Lines Symmetry
  • Rotational Symmetry

Types of Lines of Symmetry

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

  1. Vertical Line of Symmetry
  2. Horizontal Line of Symmetry

Vertical Line of Symmetry

The centrality of the shape which divides the shape into ii identical halves, vertically, is called a vertical line of symmetry. The mirror image of the other half of the shape can be seen in a vertical or straight continuing position. Some of the alphabets such equally A, H, Yard, O, U, V, West, T, Y tin can be divided vertically in symmetry.

Horizontal Line of Symmetry

The symmetry line or horizontal centrality of a shape which divides the shape into two identical halves is known equally horizontal line of symmetry. That means the centrality hither crosses beyond the shape to cutting it into two equal parts. The English alphabets such as B, C, H, Due east, are the examples of horizontal symmetry.

Three Lines of Symmetry

An equilateral triangle has about three lines of symmetry. It is symmetrical along its three medians.

Three Lines of Symmetry

Some other patterns besides have three lines of symmetry.

Three Lines of Symmetry

Iv Lines of Symmetry

A square is symmetrical along 4 lines of symmetry, 2 along the diagonals and two along with the midpoints of the opposite sides.

Four Lines of Symmetry

Some other patterns besides have four lines of symmetry.

Four Lines of Symmetry

V 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 ten symmetrical halves.

Five Lines of Symmetry

Some other patterns besides have five lines of symmetry, such every bit a star.

Five Lines of Symmetry

Six Lines of Symmetry

A regular hexagon is said to have six lines of symmetry, 3 joining the contrary vertices and 3 joining the mid-points of the opposite sides.

Six Lines of Symmetry

Similarly, a regular polygon with N sides has Due north lines of symmetry.

Infinite Lines of Symmetry

A circle has infinite or no lines of symmetry. It is symmetrical along all its diameters.

Infinite Lines of Symmetry

Line of Symmetry Examples

Some of the examples of the line of symmetry for unlike figures are given below-

  1. A Triangle is said to have 3, 1 or fifty-fifty no lines of symmetry
  2. A Quadrilateral has four or 2 or no lines of symmetry
  3. Equilateral Triangle is said to have three- lines of symmetry
  4. Regular Pentagon has 5 lines of symmetry
  5. A Regular Heptagon has 7 lines of symmetry

To learn more about multiple lines of symmetry, register at present and download BYJU'S- The Learning App.

Number Of Lines Of Symmetry,

Source: https://byjus.com/maths/line-of-symmetry/

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