The number of lines of symmetry for a regular hexagon is -

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UTET-II 2019 Maths & Science (Hindi-English-Sanskrit)
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  1. 24
  2. 18
  3. 12
  4. 6

Answer (Detailed Solution Below)

Option 4 : 6
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Detailed Solution

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Concept:  

The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Calculation:

Given:

A regular hexagon is a six-sided enclosed figure in which each side is equal.

F1 Vinanti Teaching 06.09.22 D1

The first line of symmetry for the hexagon can be shown in the figure below: 

F1 Vinanti Teaching 06.09.22 D2

We can see that hexagons on either side of the line of symmetry are identical halves.

The second line of symmetry can be shown along with the first in the figure shown below:

F1 Vinanti Teaching 06.09.22 D3

Similarly, a maximum of six lines of symmetry can be made for a regular hexagon, as shown in the figure below:

F1 Vinanti Teaching 06.09.22 D4

Hence the correct answer is option 4.

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