Circunferencias

GeoGebra dispone de tres herramientas para construir circunferencias, conviene conocerlas bien para usar en cada situación la mas adecuada. [br][br][b]1.- Circunferencia (centro, punto)[/b] [img]data:image/png;base64,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[/img] . [br][br]Utilizando esta herramienta construye la circunferencia con centro en A por el punto B.
2. Herramienta [b]Circunferencia (centro-radio)[/b] [img]data:image/png;base64,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[/img][br][br]Selecciona Circunferencia centro radio , haz clic en A. La herramienta solicita un número, Escribe [b]a[/b] , que es un deslizador (número variable al mover el punto )
3. [b]Herramienta compá[/b]s [img]data:image/png;base64,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[/img][br][br]Un compás es una herramienta para trasladar medidas. [br][br][br]La escena muestra un segmento y un punto[br] [b]1.- Selecciona la herramienta compás [img]data:image/png;base64,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[/img][br] [br] 2. Haz clic en A y B, o bien en el segmento.[br][/b][b][br] 3.- Construye un segmento de P a un punto cualquiera de la circunferencia[br][/b][br]Has construido un segmento de igual medida que el segmento dado, dicho de otra forma, has trasladado la medida del segmento a otro punto.

Information: Circunferencias