How many lines of symmetry does a regular polygon with 22 sides have?
Polygons are closed curves that are made of line segments. The polygons whose sides and angles are of equal magnitudes are called regular polygons.
Answer: A 22-sided regular polygon has 22 lines of symmetry.
Let's understand the solution in detail.
As we know, regular polygons have equal sides and angles.
The number of lines of symmetry a regular polygon has is equal to the number of sides it has.
For example, a square has 4 lines of symmetry as shown: one vertical, one horizontal, and two passing through both the diagonals.
Similarly, an equilateral triangle has 3 lines of symmetry. All the medians of an equilateral triangle are its lines of symmetry.
You can prove the same for regular pentagons, hexagons, etc.