Math Playground
Geometry

Line symmetry

Fold the shape in half — the two halves match.

A shape has line symmetry if you can fold it along a line and the two halves match.

Flip the shape
Flip: in the y-axis

Each point (x, y) maps to (−x, y). Distances and angles stay the same — only the handedness flips.

original image

How many lines?

  • Equilateral triangle: 3.
  • Square: 4.
  • Regular pentagon: 5.
  • Circle: infinitely many.