La mediatriz de un segmento es la recta [b]perpendicular [/b]a dicho segmento y que pasa por su [b]punto medio.[br][br][/b]En la siguiente [i]applet[/i] se observa la recta [color=#0000ff][b]L [/b][/color][b][color=#0000ff]mediatriz[/color][/b] del segmento [img width=22,height=15]https://lh4.googleusercontent.com/_5b19IDF1mReMO1R_J9vfsLSJ3DttDL3lELLXiRPWTVlBNg7pmhf-w0IvF0B_ug3K505A2XkKCKqFcblmSDBL6l3Oino2Xhv1_Wpk2a_2TYme_PZEF_K0r4cuII95XCQACFT81Xr[/img]
[size=150][b][icon]/images/ggb/toolbar/mode_cube.png[/icon]Construcción 1[br][br]Propiedad [br][br][/b][/size][i][b]"Al unir los extremos del segmento con un mismo punto de la mediatriz , se forma un triángulo isósceles"[/b][br][br][/i]En el siguiente [i]applet [/i]realiza los siguientes pasos para comprobar dicha propiedad[br][list=1][*][size=85][/size][size=85]Dibuja un segmento cualquier con la herramienta [icon]/images/ggb/toolbar/mode_segment.png[/icon][/size][size=85][/size][/*][size=85][*]Traza su mediatriz con la herramienta [icon]/images/ggb/toolbar/mode_linebisector.png[/icon][/*][*]Define un punto cualquiera sobre la mediatriz (que no esté en el segmento inicial) con [icon]/images/ggb/toolbar/mode_point.png[/icon][/*][*]Une los extremos del segmento hacia el punto que definiste en el paso anterior con [icon]/images/ggb/toolbar/mode_segment.png[/icon][/*][*]Mide los dos segmentos que acabas de crear con la herramienta [icon]/images/ggb/toolbar/mode_distance.png[/icon][/*][*]Mide los ángulos de la base del triángulo formado, (la base es el segmento que construiste al principio) con [icon]/images/ggb/toolbar/mode_angle.png[/icon][/*][/size][/list]
¿Cuáles son características de la mediatriz?
Acerca de la propiedad de la mediatriz:
[b][size=200]Mediatriz de un triángulo[br][br][/size][/b]La [b]mediatriz[/b] de un triángulo, es la [b]mediatriz[/b] asociada a uno de sus lados. [br][br]En el [i]applet [/i]observamos la [color=#0000ff][b]mediatriz L[/b][/color] del lado [img width=22,height=15]https://lh4.googleusercontent.com/_5b19IDF1mReMO1R_J9vfsLSJ3DttDL3lELLXiRPWTVlBNg7pmhf-w0IvF0B_ug3K505A2XkKCKqFcblmSDBL6l3Oino2Xhv1_Wpk2a_2TYme_PZEF_K0r4cuII95XCQACFT81Xr[/img] de un [img width=58,height=17]https://lh4.googleusercontent.com/YBg5fuw4gh2BcdmR7ubjBPT3kGiJf2dWx8vi545Vou-fP9qPovqout1rclPl7pwua-pkGyzLxtSnG36EVwPeqMRiBUXuvhtCXAbSqbPLtAdzBqd4D4dhqxwzVHJ7pVt4KjRIxY4j[/img]
Es verdad acerca de la mediatriz del lado de un triángulo
En la siguiente figura, si uno el punto A con el punto de color verde se forma un triángulo:[br][img]data:image/png;base64,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[/img]
En la figura, L es mediatriz del lado AC. Hallar la medida del [math]\angle DAE[/math][br][br][img]data:image/png;base64,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[/img]