Example

The quadrilaterals ABCD and A’B’C’D’ below are similar polygons, as:

m [latex]∠[/latex] A =m [latex]∠[/latex] A' m [latex]∠[/latex] B =m [latex]∠[/latex] B' m [latex]∠[/latex] C =m [latex]∠[/latex] C' m [latex]∠[/latex] D =m [latex]∠[/latex] D' [latex]\frac{\textrm{m}\overline{\textrm{AB}}}{\textrm{m}\overline{\textrm{A'B'}}} = \frac{\textrm{m}\overline{\textrm{BC}}}{\textrm{m}\overline{\textrm{B'C'}}} = \frac{\textrm{m}\overline{\textrm{CD}}}{\textrm{m}\overline{\textrm{C'D'}}} = \frac{\textrm{m}\overline{\textrm{DA}}}{\textrm{m}\overline{\textrm{D'A'}}}[/latex]