Two Line Symmetry

Symmetry is the balanced and proportionate likeness between two sides of an object. To put it another way, one half is the inverse of the other. It is vital to comprehend the concept of symmetry line. When folding a heart shape paper, for example, the paper is folded from the centre to achieve perfect symmetry. When you open the folded heart, you’ll notice a line in the centre where it’s been divided into two halves. The Line of Symmetry is a file that divides the heart into two equal pieces.

An asymmetrical figure is one that has no similarity between its two halves. None of the sides of an asymmetrical figure is the same.

Two line of symmetry

With two lines, some figures can be divided into two equal halves. Two lines of symmetry are believed to exist in these shapes. Two lines of symmetry may be seen in the rectangle. The two symmetrical parts of a rectangle can be separated vertically, horizontally, or diagonally. A rhombus also contains two symmetry lines. Two symmetry lines can be a mix of vertical, diagonal, and horizontal lines. Letters like H and X have two symmetry lines as well. Two lines of symmetry can also be found in an hourglass.

Line of symmetry in a square

The symmetry lines in a square differ from one type to the next. The square lines of symmetry, in simple terms, are the lines that divide the square into two identical sections. A square, as all we know, is a quadrilateral which is a 4-sided figure with all sides equal to each other.

A square has four symmetry lines, each of which divides it into two identical halves. A square’s symmetry lines include its diagonals as well as the lines connecting the midpoints of its opposite sides (bisectors).

Illustration of the line of symmetry

Let’s do an activity to help us understand the concept of symmetry. Take a sheet of A4 paper and fold it in half vertically to make two equal halves. Fold it vertically once more. You may now also sketch a picture and cut it out. When you open the cutout image, you’ll see that the design you created has two lines of symmetry as well. You can also go to a supermarket and look at the symmetry lines on various objects such as boxes, packages, containers, and so on. You can also look around at the fruits and veggies and try to discover the symmetry line between them.

There are several figures in which the symmetry lines can be multiple and there are many figures in which line of symmetry is one, some have 2 lines of symmetry.  Before delving deeper into the symmetry line, it’s critical to grasp the following points. 

• When a figure or object lacks a line of symmetry, it is said to be asymmetrical. 
• A single line of symmetry, two lines of symmetry, or numerous lines of symmetry exist in just a few forms and figures.

Because a circle may be folded at any diameter to produce symmetrical halves, it can have an endless number of lines of symmetry. Because the sides of a square are the same, it is said to have four lines of symmetry. The diagonal lines, as well as vertical and horizontal lines, divide a square. The equilateral triangle has three lines of symmetry, whereas the scalene triangle has none because its sides are all different. Because both of its sides are equal, an isosceles triangle has only one line of symmetry. A pentagon has five symmetry lines, while a hexagon has six symmetry lines.

Conclusion

The line of symmetry in mathematics is the line that runs through the centre of a shape/object and divides it into two identical halves. It is the object’s imaginary line or axis. The axis of symmetry, or mirror line, is another name for the line of symmetry. We’re all familiar with the phrase symmetry, which refers to a balanced and proportionate similarity between two sides of an object, with one half mirroring the other.