Question

How many lines of symmetry does a parallelogram have?

Answer 1

Hint:
The given question is to find out the lines of symmetry any type of regular polygon has. Polygon is a many-sided closed figure and each has a fixed or specific name. Lines of symmetry are nothing but in any type of polygon, the lines of symmetry are those lines from centre to any of the sides which are passing through the vertex.

Complete step by step solution:
In the question, we had asked how many lines of symmetry are there in a regular parallelogram. Parallelogram is a four-sided closed figure which is a type of polygon and line of symmetry is a line which cuts the geometrical shape exactly in half, which means if we fold the shape of that geometric figure along the line, then both the halves would match exactly.
In the question, we have to find out how many lines of symmetry does a regular pentagon have.
First of all, we will make a figure of regular parallelogram and make all the possible lines of symmetries on that:

Since in the figure of a regular parallelogram, if we made a vertical line in the centre and folded the one half on the other half then both the halves don’t overlay each other. It means there are no lines of symmetry in a regular parallelogram.

Note:
The question was to find out how many lines of symmetry does a regular parallelogram have. To find out the lines of symmetry: we generally made a vertical line which passes through the middle of the figure such that the right half is the mirror image of the left half and vice versa.