Concept information
Preferred term
similar triangles
Definition(s)
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Two triangles, △ABC and △A'B'C' are similar if and only if corresponding angles have the same measure: this implies that they are similar if and only if the lengths of corresponding sides are proportional. It can be shown that two triangles having congruent angles (equiangular triangles) are similar, that is, the corresponding sides can be proved to be proportional. This is known as the AAA similarity theorem. Note that the "AAA" is a mnemonic: each one of the three A's refers to an "angle". Due to this theorem, several authors simplify the definition of similar triangles to only require that the corresponding three angles are congruent.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Similarity_(geometry)#Similar_triangles)
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-J7K5T0V8-Q
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