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Desafío de cuerdas y tangentes

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Desafío de cuerdas y tangentes
 

Desafío de cuerdas y tangentesOnline version

Resuelve afirmaciones: ¿Cierto o falso?

by Valeska Vera Vera
1

La potencia de un punto respecto a una circunferencia puede calcularse con PA·PB para una secante que pasa por P.

2

La longitud de la tangente desde cualquier punto dentro de la circunferencia es real.

3

Para dos secantes desde P, la suma PA + PC es igual a PB + PD.

4

La suma de las longitudes de las dos tangentes desde un punto externo es siempre constante.

5

El ángulo entre una tangente y una secante desde el mismo punto es siempre igual al ángulo central subtendido por los puntos de contacto.

6

Si desde un punto externo P se dibujan dos rectas secantes que cortan la circunferencia en A,B y C,D, entonces PA·PB = PC·PD.

7

Si desde P se dibujan una tangente y dos secantes, entonces PT^2 = PA·PB·PC.

8

Desde un punto fuera de la circunferencia, las dos tangentes tienen la misma longitud: PT1 = PT2.

9

Desde P se puede dibujar una tangente PT y una secante PA C, y se cumple PT^2 = PA·PC.

10

La tangente a una circunferencia es perpendicular al radio en el punto de tangencia.

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