Question

The diagram shows a regular polygon and a kite complete the following statement.
The regular polygon has ……….lines of symmetry.

Answer 1

Hint: First of all we should know what are lines of symmetry. Shape has a line of symmetry when the folded part sits perfectly on top with all eyes matching. A quick hint will also be that a regular polygon has lines of symmetry equal to the number of sides it has.

Complete step by step solution: “A regular polygon has the number equal to the number of the sides it has as lines of symmetry.”
Let's look at some of the examples to verify the above statement.
A regular pentagon has 5 sides and 5 lines of symmetry, which can be easily shown

Similarly, a square has 4 lines of symmetry as shown:

Similarly we can see for other regular polygons as well as for a kite, it has only one line of symmetry:

It is not regular)


Note: The thing to keep in mind here is that for any regular polygon the number of lines of symmetry is equal to the number of sides it has. Also, number of lines of symmetry in some common shapes are as follows:
Triangle: can have 3, or 1 or no line of symmetry
Rhombus: has 2 lines of symmetry
Circle: has infinite lines of symmetry.