[i]Dibuja una circunferencia, marca tres puntos A, B y P sobre la circunferencia y construye el ángulo inscrito APB.[/i][br][i]Mide el ángulo APB y mueve el punto P para observar la medida del ángulo cuando P recorre la circunferencia.[/i][br][i]Construye un nuevo ángulo inscrito AQB y mueve cualquiera de los elementos que intervienen en la construcción anterior para estudiar la relación entre los dos ángulos anteriores.[/i][br][i]Deduce qué relación hay entre dos ángulos inscritos en una circunferencia que abarcan el mismo arco.[/i][br][br]Vamos a resolver esta primera propuesta paso a paso.[br]Comenzamos dibujando la circunferencia utilizando para ello la herramienta [b]Circunferencia[br](centro, punto)[/b][url=https://www.geogebra.org/manual/es/Herramienta_de_Circunferencia_(centro-punto)][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMAAwASABIAhAAAAAAAAAAACAAAHQAAOAAAPAAANwAAPwAAOQAAKgAAOwAALgAAPgAAPQAA7gAA9gAA8AAA9wAA8gECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwVBICCOQBCUZDqe5MmmrwoIRCHfgPMceEpAEQSqJ1IQBjEisSEzqRQSCVMJaESbyeKU2st2RV5VLNyC4cJe8gqVDQEAOw==[/img][/url] en la que podemos ocultar el punto utilizado para crearla.[br]A continuación, utilizando la herramienta [b]Punto[/b][url=https://www.geogebra.org/manual/es/Herramienta_de_Punto][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAUAAwAQABEAhAAAAAAAAAAAGQAAHAAAFQAAFwAAHgAAPAAAKQAAIwAAIAAAJAAANAAAJQAAaAAAZAAAmwAAlgAAvQAA/wAA7AECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwU0ICCOZGmW03Se6WqqqivGrUzHawvbaN7LwCBAcEAMgpCUgyArUFISBTCSejBlA0bDIOyGAAA7[/img][/url] creamos tres puntos en la circunferencia, a los que cambiamos el nombre para que sean A, B y P.[br]Para dibujar el ángulo podemos trazar los segmentos AP y BP utilizando la herramienta [b]Segmento [/b][url=https://www.geogebra.org/manual/es/Herramienta_de_Segmento][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAMABQASAA4AhAAAAAAAAAAAEQAAAgAACAAABAAANwAAMQAAOQAAKgAAOwAALgAAOgAAQgAASgAATwAAQQAAfwAAmQAAgQAAkAAAswAAuwAAxwAAxgAA/wECAwECAwECAwECAwECAwECAwUsICCOZGmeZCOh6JVNbDk4FRKPwV3musj3P2AP11NYHoVhJIMZAhgUiHMKCAEAOw==[/img][/url]para obtener la imagen similar a la siguiente:[br][img width=228,height=209]data:image/png;base64,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[/img][br]Utilizando la herramienta [b]Ángulo[/b] medimos el ángulo APB pulsando los vértices en el orden B, P y A para obtener el ángulo interno y no el exterior.[br][br]Al mover el punto P por la circunferencia observaremos que la medida del ángulo no cambia.[br]

Repetimos el proceso para crear un nuevo ángulo AQB.[br][img width=273,height=236]data:image/png;base64,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que los dos ángulos son iguales, lo cual ya estaba claro después de mover el punto P por toda la circunferencia.[br]Por tanto todos los ángulos inscritos en una circunferencia que abarquen una misma cuerda son iguales.[br]