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Teorema de Thales

Teorema de Thales. Si dos rectas concurrentes, r 1 y r 2 , son cortadas por una colección de rectas paralelas se verifica que las razones entre los segmentos determinados en r 1 son iguales a las razones entre los segmentos correspondientes en r 2. r 1. r 2. A. A’. B. B’. C. C’. r 1.

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Teorema de Thales

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  1. Teorema de Thales Si dos rectas concurrentes, r1 y r2, son cortadas por una colección de rectas paralelas se verifica que las razones entre los segmentos determinados en r1 son iguales a las razones entre los segmentos correspondientes en r2. r1 r2 A A’ B B’ C C’ CURSO 2007-2008

  2. r1 r2 A A´ B B´ C C´ DEMOSTRACIÓN Los triángulos ABM y BCN son semejantes Verificándose: También los triángulos A´B´M´ y B´C´N´ son semejantes M M´ Y cumplen que: N N´ Y puesto que AM = A´M´ y BN = B´N´ se cumple que: CURSO 2007-2008

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