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Ángulos en la circunferencia

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Ángulos en la circunferencia

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Quiz sobre ángulos en circunferencias

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Aranza Jazmín Santibáñez Figueroa
Aranza Jazmín Santibáñez Figueroa
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Ángulos en la circunferencia
 

Ángulos en la circunferenciaOnline version

Quiz sobre ángulos en circunferencias

by Aranza Jazmín Santibáñez Figueroa
1

¿Qué ángulo se forma con el centro y dos puntos de la circunferencia?

2

El ángulo inscrito mide la mitad del arco que intercepta. ¿Verdadero o falso?

3

Si un ángulo inscrito intercepta un arco de 60°, ¿cuál es su medida?

4

El ángulo central que intercepta el mismo arco que un ángulo inscrito es:

5

Una semicircunferencia forma un ángulo inscrito de:

6

Si el arco medido es 180°, ¿cuál es la medida del ángulo central?

7

La tangente y la cuerda forman un ángulo igual al:

8

Dos ángulos inscritos que subtenden arcos congruentes son:

9

La medida de un arco es igual a:

10

Si dos cuerdas interceptan arcos iguales, ¿los ángulos inscritos son?

Explicación

El ángulo central tiene su vértice en el centro y sus lados por radios.

Por teorema: el ángulo inscrito es la mitad del arco que intercepta.

Ángulo inscrito = arco/2, por tanto 60°/2 = 30°.

El central es el doble del inscribed para el mismo arco.

Un arco de 180° produce un ángulo inscrito de 90°.

La medida del arco 180° equivale al ángulo central de 180°.

Teorema de la tangent-chord: el ángulo entre tangente y cuerda = ángulo inscrito que subtende el arco.

Ángulos inscritos que subtenden arcos congruentes son iguales.

El arco en grados es igual al ángulo central que lo subtende.

Arcos iguales producen ángulos inscritos iguales.

 
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