Symmetry Lines of a Regular Polygon
Symmetry · Class V
How many symmetry lines does a regular polygon have?
- Lines of symmetry6
- Interior angle (deg)120
- Sum of angles (deg)720
Formulas in this lab
- Lines of symmetry
- Interior angle (deg)
- Sum of angles (deg)
Frequently asked questions
▶What is a line of symmetry?
A line of symmetry cuts a shape into two equal mirror halves. If you fold the shape along that line, the two halves match exactly. A square has 4 such lines.
▶How do I use the symmetry tester?
Pick the number of sides of a regular polygon using the slider. The lab draws the shape and shows all its lines of symmetry. A regular polygon with n sides has n symmetry lines.
▶Where do we see symmetry around us?
Rangoli patterns at home, the leaves of a peepal tree, butterflies, and even the Taj Mahal have lines of symmetry. Many Indian temple designs are built on perfect symmetry.
▶Did you know about symmetry?
A circle is the most symmetric flat shape: it has infinite lines of symmetry. An equilateral triangle has 3, a square has 4, a regular pentagon has 5. The pattern matches the number of sides.