Lines of Symmetry In Regular Polygons

What is line of symmetry?

An object is considered to be symmetrical, if when folded or sliced in half, both halves are mirror images of one another. An object is said to have a line of symmetry when one half of it is the mirror image of the other.

We will learn in detail about the lines of symmetry for regular polygons in this article.

Lines of Symmetry for Regular Polygons

Every regular polygon, like an equilateral triangle or a square, has exactly as lines of symmetry as it sides.

A closed shape made up of several line segments is called a polygon. The smallest polygon with the fewest number of line segments is a triangle.
A polygon is considered regular if all of its sides are the same length and all of its angles are the same size. An equilateral triangle is a typical three-sided polygon. Each regular polygon will have an equal number of lines of symmetry to its sides.
An equilateral triangle is regular because each of its sides is the same length and each angle is 60 degrees. As a result of having three sides, an equilateral triangle has three symmetry lines.

A square is a regular quadrilateral because it has 90° angles and equal-length sides. One way to think of its diagonals is as perpendicular bisectors. A square is divided into two identical halves by four symmetry lines. The diagonals and the lines joining the midpoints of the opposing sides of a square make up its symmetry lines (bisectors).

An isosceles triangle has two sides are equal and two angles are equal.

1. An isosceles triangle has one symmetry line. 

2. An equilateral triangle has three symmetry line. 

3. A scalene triangle has no symmetry line. 

4. A square has four symmetry line. 

5. A rectangle has two symmetry line.

6. A rhombus has two symmetry lines.

7. A isosceles trapezoid has one symmetry line.

8. A pentagon has five symmetry lines.

9. A hexagon has six symmetry lines.

10. A octagon has eight symmetry lines.

11. A decagon has ten symmetry lines.

12. A dodecagon has twelve symmetry lines.

13. A circle has infinite symmetry lines.

1.An isosceles triangle has one symmetry line.

An equilateral triangle has three sides are equal and three angles are equal.

2. An equilateral triangle has three symmetry lines.

A scalene triangle has no sides equal and no angle equal. 

3. A scalene triangle has no symmetry line.

A square has all sides are equal and all angles are 90 degree. 

4. A square has four symmetry lines. 

5. A rectangle has two symmetry lines.

6. A rhombus has two symmetry lines.

7. A isosceles trapezoid has one symmetry line.

8. A pentagon has five symmetry lines.

9. A hexagon has six symmetry lines.

10. A octagon has eight symmetry lines.

11. A decagon has ten symmetry lines.

12. A dodecagon has twelve symmetry lines.

13. A circle has infinite symmetry lines.

A circle’s symmetry line is a line that runs through the centre of the circle. A circle has an endless number of symmetry lines as a result.