Definition:Symmetry Group of Isosceles Triangle

Group Example
Let $\triangle ABC$ be an isosceles triangle whose apex is $A$.


 * Symmetry-Group-of-Isosceles-Triangle.png

The symmetry mappings of $\triangle ABC$ are:
 * The identity mapping $e$
 * The reflection $d$ of $180 \degrees$ about the line through $A$ and the midpoint of $BC$.

This group is known as the symmetry group of the isosceles triangle.

Group Presentation
Its group presentation is:

Also see

 * Symmetry Group of Isosceles Triangle is Group
 * Symmetry Group of Isosceles Triangle is Symmetric Group