[i]Dibuja una circunferencia de centro O y dos puntos A y B sobre la circunferencia, construye y mide el ángulo central AOB.[/i][br][i]Dibuja y mide un ángulo inscrito APB.[/i][br][i]Mueve el punto P para estudiar la relación entre los dos ángulos anteriores y completa la siguiente propiedad: “La medida de un ángulo inscrito en una circunferencia es ______________ del correspondiente ángulo central”.[/i][br][br]Realizamos los pasos que indica el ejemplo, dibujando la circunferencia, cambiando el nombre al centro y dibujando dos puntos A y sobre la circunferencia. Es importante que estos dos puntos no sean el punto con el que se creó la circunferencia.[br][img width=185,height=166]data:image/png;base64,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[/img][br]Observemos que la circunferencia se creó con centro en O y como punto B1.[br]Trazamos los segmentos OA y OB, midiendo el ángulo AOB, utilizando para ello la herramienta [b]Ángulo[/b].[br][img width=214,height=185]data:image/png;base64,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[/img][br]Para medir el ángulo hemos pulsado los puntos en el orden B, O y A, ya que si los pulsamos en el orden contrario nos dará la medida del ángulo exterior.[br]Creamos un nuevo punto P en la circunferencia para dibujar y medir el ángulo APB.