Similar Polygons

Similar Polygons

Two polygons are similar if one is an enlargement, a reduction or a reproduction of the other.


The symbol used is “∼” and is read “is similar to.”


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

m \(∠\) A =m \(∠\) A’
m \(∠\) B =m \(∠\) B’
m \(∠\) C =m \(∠\) C’
m \(∠\) D =m \(∠\) D’

\(\frac{\textrm{m}\overline{\textrm{AB}}}{\textrm{m}\overline{\textrm{A’B’}}} = \frac{\textrm{m}\overline{\textrm{BC}}}{\textrm{m}\overline{\textrm{B’C’}}} = \frac{\textrm{m}\overline{\textrm{CD}}}{\textrm{m}\overline{\textrm{C’D’}}} = \frac{\textrm{m}\overline{\textrm{DA}}}{\textrm{m}\overline{\textrm{D’A’}}}\)


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