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Lines of Symmetry

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Line of symmetry is a line that divides a figure into two congruent parts, each of which is the mirror image of the other.

When the figure having a line of symmetry is folded along the line of symmetry, the two parts should coincide.

Sym9

For example, the dotted line divides the butterfly into two halves that are mirror image of each other. This dotted line is line of symmetry.

These two sides are reflections or mirror images, and is also referred to as reflection symmetry.

Let's identify the line of symmetry of some common polygons.

Triangles

A triangle can have 3, or 1 or no line of symmetry.

Sym10

 

Quadrilaterals

Different types of quadrilaterals have different number of lines of symmetry.

Sym11

 

Sym12

Summary
  • Line of symmetry is a line that divides a figure into two congruent parts, each of which is the mirror image of the other.
  • When the figure having a line of symmetry is folded along the line of symmetry, the two parts should coincide.
  • Different polygons have different number of lines of symmetry.
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