6th Class Mathematics Symmetry Line of symmetry

  Line of symmetry

Line of symmetry is a line that divides a figure into two identical parts, each of which is the mirror image of the other. In the above figures the imaginary line is known as the line of symmetry, so the line of symmetry is the imaginary line along which we can fold the figures so that both the halves coin cide each other.

Note:

• A line of symmetry divides a figure into two equal halves.
• A figure can have more than one line of symmetry.
• A figure cannot have any line of symmetry.  

Which of the following figures does not have any line of symmetry?                

(a)                                             

(b)                

(c)                                               

(d)  

How many line(s) of symmetry does a regular octagon can have?

Solution:

A regular octagon have 8 lines of symmetry, which is shown below