Two Lines 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.

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

  • A rhombus

  • Alphabets like H and X

  • An hour glass

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.