Two Lines Of Symmetry

You are already acquainted with the term symmetry which is a balanced and proportionate similarity found in two halves of an object, that is, one-half is the mirror image of the other half. Before talking about two lines of symmetry, we will first discuss the term line of symmetry.

Let us take up an activity to understand line of symmetry. Say you are asked to carve a ‘heart’ out of a piece of paper. For the heart to be perfectly symmetrical, you fold the paper into half and draw half of heart along the fold. After cutting and opening the fold, you find the symmetrical heart. The vertical fold along which you made the heart is the line of symmetry.

Lines Of Symmetry

Now try to find some other fold along which the perfectly symmetrical heart could have been cut out. You wouldn’t find any, would you? It can be concluded here that the heart shape has only 1 line of symmetry.

Line of Symmetry

We have already seen the example of a shape with one line of symmetry. However, figures with more than one lines of symmetry also exist. In fact, a shape may have:

  • No line of symmetry, which implies that the figure is asymmetrical
  • One line of symmetry
  • Two lines of symmetry
  • Multiple (more than two) lines of symmetry.

For now, let us focus on shapes with two lines of symmetry.

Two Lines of Symmetry

The two lines of symmetry may be any combination of vertical, horizontal and diagonal.

  • A rectangle

Lines Of Symmetry

  • A rhombus

Lines Of Symmetry

  • Alphabets like H and X

Lines Of Symmetry

  • An hour glass

Lines Of Symmetry

A Cut Out From Double Fold

Let us do an activity to obtain a figure with two lines of symmetry.

Take an A4 sized sheet of paper. Fold it into two equal halves, say along the vertical. Fold it again, vertical this time. Draw some design along the folds and cut it out. Open the fold. The shape that you obtain by following this procedure will have at least 2 lines of symmetry.

Lines Of Symmetry

Two Lines of Symmetry

To learn more about two lines of symmetry, download Byju’s The Learning App.

Practise This Question

Match the shapes mentioned in column 1 with the number of lines of symmetry it exhibits.
ShapesLine of Symmetry(a) Equilateral triangle(i) 2(b) Square(ii) 3(c) Circle(iii) 4(d) Rectangle(iv) Infinte(e) Regular Pentagon(v) 5