Question

How many lines of symmetry does a square have?
$$\begin{gathered} (a)\text{ 1} \\ (b)\text{ 2} \\ (c)\text{ 3} \\ (d)\text{ 4} \end{gathered}$$

Answer 1

Hint: The number of lines of symmetry in a regular polygon is equal to the number of sides of that polygon. A square has 4 sides. Thus use this information along with the concept explained previously to get the answer.

Complete step-by-step answer:

A regular square has 4 sides and 4 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
There are 4 lines of symmetry in a regular square. Two of them go from a vertex to the opposite vertex and two of them go from midpoint of side to the midpoint of the opposite side.
Consider a regular square ABCD as shown in figure the line of symmetry is also shown as 1, 2, 3, 4 which folds the square into two equal halves.
So, the regular square has 4 sides so the regular square has 4 lines of symmetry which folds the square into two equal halves.
So, this is the required answer.
Hence option (d) is correct.

Note: The line of symmetry refers to the imaginary line where we can fold the image and the sub images thus formed will exactly be similar to each other or we can say that the symmetry exists when the exact reflection or mirror image of a line, shape or object gets created.