Question

The number of lines of symmetry in a regular pentagon is
A.3
B.4
C.5
D.6

Answer 1

Hint: Line of Symmetry is the line which divides an object into 2 exact looking equal halves. We are given a regular pentagon, so we try to find as many lines that will divide it into 2 equal halves.

Complete step-by-step answer:
‘Symmetry’ can be defined as the quality of being made up of exactly similar parts facing each other or around an axis.
The ‘Line of Symmetry’ can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.
‘Pentagon’ is a plane figure with five straight sides and five angles.
If we fold the figure cut out exactly at the centre vertically, its halves will be congruent. The line of the fold is the line of the symmetry.
We can fold a pentagon in 5 halves.
As shown in the figure below.
 

So, the line of symmetry of a pentagon is 5.
Hence, option (c) is correct.


Note: If we cut a paper in the shape of a pentagon, then the line of fold which gives us 2 exact equal halves will be the line of symmetry and the total number of such lines are 5.
If we draw the axis that passes through the centre of any polygon, then we can find the line of symmetry of that polygon.