Line of Symmetry

Line of Symmetry


A geometrical figure is said to be symmetric about a line if on folding the figure about this line the two halves of the figure exactly coincide.

Line of Symmetry

A line of symmetry divides a figure in equal halves. Figures can have more than one line of symmetry.
Look at the square below. How many lines of symmetry can you count?
Does a rectangle have as many lines of symmetry as a square? Remember that a line of symmetry splits a figure in 2 halves so that each half exactly coincides the other. Notice that the rectangle has two lines of symmetry.
A rectangle cannot have a diagonal line of symmetry like a square because the sides are not of the same length. If you fold this rectangle diagonally so that Corner A meets Corner D, the sides would not match. Try it with a piece of paper!

You can draw lines of symmetry on many different figures. Look at the lines of symmetry on the figures below. Notice how different types of figures can have different numbers of lines of symmetry.

Some symmetrical shapes have one line of symmetry, some have two and some have more than two, as shown below:
1.                  Examples of the shapes having one line of symmetry:
       2.                   Examples of the shapes having two - lines of symmetry:
3.           Examples of the shapes having three lines of symmetry:
4.                   Examples of the shapes having four lines of symmetry:
5.                  Examples of the shapes having many lines of symmetry:
6.                  Examples of the shapes having no line of symmetry:

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