Teorema de Varignon

El cuadrilátero de Varignon EFGH se obtiene al unir los puntos medios de un cuadrilátero cualquiera ABCD.[br][br][br][img width=288,height=184]data:image/png;base64,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[/img][br][br] [br]Al unir los puntos medios de un cuadrilátero cualquiera se obtiene un nuevo polígono que es un paralelogramo, cuya área es la mitad del cuadrilátero inicial. Este es el enunciado del teorema denominado de Varignon en honor del matemático francés Pierre Varignon (1654-1722).[br][br]Una vez dibujado el cuadrilátero ABCD utilizando la herramienta [b]Polígono[/b]  [img width=20,height=22]data:image/png;base64,R0lGODlhFAAWAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAUABYAhQAAAAAAAAAAEQAABAAAOgAANQAAIAoCKgAANwAAOQEANwAAIgAALgAAWw8FQgAAWgAAUAgDSgAAXwAAcQEAewYCcAAAZgAAkQEAlQIBogAAqgAAyQAA/wAA5wAA+AAA6SgOICUMLScNKlcdCF0fBkwZGEQXE3cqAJk0AJczAJkzAJozAJk1AJsxAJcxAJ03AJgzAJkyAJg0AJU3AJEuAJs1AJszAJEmAJ0zAJo0AJoyAJUzAIctAKoAAP8AAAECAwZzQIBwSCwahYQG4cgEFDacSZNJ6TimzBAAhS2qhqtuk9sNf88AFpZshE3dwm8cAD/Wj2REkYvuA0gVHg9EMlglGRwXRGFzc2o0ABBiAIxMNQBoYZdNlQA5Ol0LIiYAMQA7YhYfETyTQhocGK5CCRIJs7hDQQA7[/img] y con[br]ayuda de la herramienta [b]Punto medio o Centro[/b]  [img width=20,height=20]data:image/png;base64,R0lGODlhFAAUAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAUABQAhAAAAAAAAAAAKgAAPAAAOgAAPwAAOQAAOwAAPQAAIgAARgAARAAAzwAA8wAA/wAA7TcAADkAAD4AADsAADoAADUAADYAAEwAAE4AAEEAANcAANwAAP0AAP8AAAECAwECAwU4ICCOZCkOhKmSRcMY66o4zxGvy63vfO//F8wPkOF0JL+JZkMZVobQqHSIyA0fDsXPwGgUhinBLwQAOw==[/img], obtenemos los puntos medios de cada uno de[br]los lados E, F, G y H, dibujaremos el nuevo polígono EFGH, tal y como aparece en la figura anterior.[br][br]Para comprobar que es un paralelogramo utilizaremos la herramienta [b]Relación [/b][url=https://wiki.geogebra.org/es/Herramienta_de_Relaci%C3%B3n][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAwAWABEAgQAAAAAAAP8AAAECAwIyhH8Ciu1p2JtI0insdXpXD4afSJZAYB5os3posL7qSbe2AbfULeM17cPFdJOYj1gEFgAAOw==[/img][/url] pulsando sobre los lados EF y GH, que encontramos en el bloque de medidas.[br][br][img width=206,height=287]data:image/png;base64,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[/img][br][br]Una vez seleccionada esta herramienta, pulsamos sobre los lados EF y GH. Aparecerá la siguiente información:[br][br][img width=358,height=142]data:image/png;base64,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[/img][br][br]Podemos observar que los dos lados tienen la misma longitud y que además son paralelos.[br][br]Al pulsar sobre el botón [b]Más…[/b], aparecerá la información siguiente:[br][br][img width=258,height=146]data:image/png;base64,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cual nos confirma que son ciertas las relaciones entre los dos lados. El mismo resultado obtendremos al repetir el proceso sobre los lados FG y EH.[br][br]Por tanto, el cuadrilátero de Varignon es un paralelogramo.[br][br]La relación entre las áreas la podemos obtener al calcular, a través de la línea de entrada, el valor del cociente entre el área del cuadrilátero inicial y el área del cuadrilátero de Varignon.[br][br][br][img 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[/img][br][br][br]Observamos que el primero es doble del segundo, por lo que el cuadrilátero de Varignon tiene la mitad de área que el cuadrilátero sobre el que se construyó.[br][br]Podemos mover los vértices del cuadrilátero inicial para observar que esta relación siempre se cumple.[br]
Teorema de Varignon

Information: Teorema de Varignon