[i]Si un cuadrilátero está inscrito en una circunferencia, la suma de los productos de los pares de lados opuestos es igual al producto de las diagonales.[/i][br][br][img 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[/img][br][br]El primer paso que debemos realizar con GeoGebra será realizar la construcción de un cuadrilátero inscrito en una circunferencia, dibujando a continuación las diagonales, tal y como aparece en la imagen anterior.[br]A continuación, dado que la medida de los lados y de las diagonales aparece directamente al construirlos, solo nos quedará obtener el valor de las dos expresiones que deseamos comprobar que son iguales.[br]Por un lado, calculamos el valor de AB*CD+AD*BC, para lo que bastará con introducir esta expresión en la línea de entrada (o los nombres de los correspondientes segmentos, si no hemos procedido a renombrarlos) para obtener su valor.[br]De manera análoga obtendremos el valor del producto de las dos expresiones, escribiendo AC*BD en la línea de  entrada.[br]Observamos que los dos valores coinciden tal y como aparece en la imagen siguiente:[br][img 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último paso, para poder considerar que hemos demostrado el teorema bastará con manipular la construcción moviendo los objetos para considerar que la igualdad entre las dos expresiones se cumple.[br]Podemos pensar que los dos valores anteriores corresponden a una aproximación con tantos decimales como se hayan indicado a través de la opción [b]Redondeo[/b] del menú [b]Opciones[/b], por lo que solo nos[br]quedaría obtener el valor de la diferencia entre las dos cantidades para comprobar que siempre se mantiene igual a 0.[br]Un proceso similar servirá para considerar demostrado, aunque de manera gráfica el siguiente teorema, ya que se trata de comprobar una relación entre los valores de unas determinadas medidas obtenidas a partir de un triángulo.