Mediana

[br][size=150]La [b]mediana[/b] es el segmento que une un vértice del triángulo con el punto medio del lado opuesto. [br][br]Cada mediana recibe un nombre en función al lado donde cae. [br]Observa la siguiente imagen[/size][size=150][size=200][center][/center][/size][/size]
Mediana relativa a uno de los lados
[size=100][size=85][size=150]En la imagen, se observa la mediana [math]BM[/math]. A esta se le llama [b]mediana relativa [/b]al lado [math]AC[/math][/size] [/size][/size].
Utiliza las herramientas mostradas y construye la mediana relativa al lado AB
Construye la mediana relativa a la hipotenusa
Construye la mediana relativa al lado AC
Construye la mediana relativa al lado PQ
Construye la mediana relativa a uno de los catetos (elige cualquiera)

Bisectriz e Incentro

[size=200][b]Bisectriz[br][/b][/size]La bisectriz de un ángulo, es la semirrecta con origen en el vértice del ángulo y que lo divide en dos ángulos congruentes
[b][icon]/images/ggb/toolbar/mode_cube.png[/icon]Construcción 1[/b][br][br]En el siguiente [i]applet[/i], dibuja la bisectriz de [math]\angle CBA[/math]. Luedo mide cada ángulo en el que fue dividido dicho ángulo:[br][br][i]Mira el siguiente vídeo tutorial para personzalizar tu construcción, haz clic [url=https://drive.google.com/file/d/1IrNWZJvpYpA9G2T3HP5a38Qab2Noum0a/view][color=#0000ff][b]aquí[/b][/color][/url][/i]
[color=#0c343d][b][size=200]Incentro[br][/size][/b][/color]El incentro es el punto de intersección de la de las bisectrices de los ángulos internos de un triángulo
[b][icon]https://www.geogebra.org/images/ggb/toolbar/mode_cube.png[/icon]Construcción 2[/b][br] [br]En el siguiente [i]applet:[br][/i] [br][list=1][*]Dibuja las tres bisectrices del triángulo y ubica el incentro. (recuerda que puedes generar el incentro haciendo clic en dos de las bisectrices con la herramienta [icon]/images/ggb/toolbar/mode_intersect.png[/icon])[/*][*]Define dicho incentro con la letra "[i]I[/i]". (puedes hacer esto haciendo clic derecho sobre el punto y utilizar la opción "renombrar").[/*][*]Mide cada uno de los ángulos en los que fue dividido cada ángulo interno al dibujar la bisectriz ([icon]/images/ggb/toolbar/mode_angle.png[/icon])[/*][/list][i]Mira el siguiente vídeo tutorial para consejos de construcción, haz clic [color=#0000ff][b][url=https://drive.google.com/file/d/1v-zqW9nANwAmq7WLwFi_t2l68I27Fbi9/view]aquí[/url][/b][/color][/i]
[size=200][b][color=#0c343d]Propiedades del incentro[/color][/b][/size][br][br]Observa la construcción secuencial en el siguiente [i]applet, [/i]utiliza los botones de reproducción para observar la construcción[i]. [/i]Observarás una importante propiedad del [b]incentro.[/b]
Pregunta 1
[b][size=150]Conjetura:[/size][/b][br][br]Describe la propiedad que acabas de observar. ¿Qué nuevo elemento geométrico aparece? ¿El incentro forma parte de dicho elemento? ¿Cómo está ubicado ese elemento?[br][br]Utiliza algunas de estas definiciones para reforzar tu conjetura, haz clic[color=#0000ff] [url=https://docs.google.com/document/d/1UcUuMh-aYFmQRtRI361BHtun5meEwrqSMhjF50qZIrg/edit?usp=sharing][b]aquí[/b][/url][/color][br]
[b][icon]https://www.geogebra.org/images/ggb/toolbar/mode_cube.png[/icon]Construcción 3[br]¡Ahora tú![br][/b][list=1][*] Dibuja un triángulo cualquiera con la herramienta[b] [icon]/images/ggb/toolbar/mode_polygon.png[/icon].[/b][/*][*] Dibuja las bisectrices de cada ángulo con la herramienta [icon]/images/ggb/toolbar/mode_angularbisector.png[/icon][/*][*] Fija el incentro (I) con la herramienta de intersección [icon]/images/ggb/toolbar/mode_intersect.png[/icon][/*][*] Dibuja un recta que pase por el incentro y que sea perpendicular a uno de los lados con [icon]/images/ggb/toolbar/mode_orthogonal.png[/icon][/*][*] Fija el punto de intersección entre dicha recta y el lado con el que cruza con [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon][/*][*] Dibuja la circunferencia con centro en (I) y que pase por punto de intersección del paso anterior con [icon]/images/ggb/toolbar/mode_circle2.png[/icon] [/*][*]Con la herramienta [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon] fija los puntos de intersección entre la circunferencia y los lados del triángulo. [i](puntos de tangencia)[/i][/*][*]Dibuja los segmentos que unen el incentro con los puntos de tangencia [icon]/images/ggb/toolbar/mode_segment.png[/icon][/*][*]Mide los ángulos que se forman de cada segmento del paso anterior con los lados del triángulo con [icon]/images/ggb/toolbar/mode_angle.png[/icon][/*][*]Mide la longitud de cada segmento construido en el paso 8 con [icon]/images/ggb/toolbar/mode_distance.png[/icon][/*][/list][i]Mira el siguiente vídeo tutorial para que tu construcción sea exitosa, haz clic [/i][color=#0000ff][b][i][url=https://drive.google.com/file/d/1ZPcRH1_NLa5Qp5qjwswWGRVcdxmowyd8/view]aquí[/url][/i][br][/b][/color]
Pregunta 2
Marca todas las alternativas correctas en función a lo observado en tu construcción
Pregunta 3
Marca todas las alternativas correctas en función a lo observado en tu construcción
Pregunta 4
En la figura [math]I[/math] es el incentro del triángulo [math]ABC[/math]. Hallar el valor de "[math]x[/math]"[br][img]data:image/png;base64,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[/img]
Pregunta 5
En la figura "[math]O[/math]" es el incentro del triángulo. Hallar el valor de "[math]x[/math]"[br][img]data:image/png;base64,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[/img]
Pregunta 6
Hallar el valor de "[math]x[/math]" en el siguiente gráfico si el segmento [math]BD[/math] es bisectriz del ángulo [math]CBA[/math][br][img]data:image/png;base64,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[/img]
Pregunta 7
En la figura "[math]I[/math]" es el incentro y "[math]F[/math]" es punto de tangencia. Hallar la medida del ángulo" [math]CIF[/math]"[br][img]data:image/png;base64,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[/img]

La distancia de un punto a un segmento

Definiremos un punto llamado[math]P[/math] y un segmento llamado [color=#0000ff][img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img]. [/color][br][br]La distancia del punto [math]P[/math] al segmento [img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img] está definida como el [b]segmento perpendicular [/b]que parte de [math]P[/math] hacia el segmento [img width=22,height=15]https://lh4.googleusercontent.com/L1HLZF1feL4sdFuD_o_cXSLka4KkdlH-37wnvX_SosEQ8Ciwd7pLRByRuqbpTCjlcnEm9oSqrepUnBaCWmSuMq4-L1tk6aBlVbqjMFabwjyZ6j3IPK0C9qDfTh7ILhoX8brHNeb2[/img] o a [b]su prolongación.[/b][br][br][center][img]data:image/png;base64,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[/img][br][i][img width=69,height=15]https://lh3.googleusercontent.com/6gxTbnOekRqkF0afXZ9NM3Ydq2i2e1pClllfO0cuT9saVwEsUwYWFLdY15Nqk_ndn3Bo1IY2O46tBnVQ9R9i6UwTjBRnj32bbASAAvOP8KkwPjrsenWOB0x9D2wVsy8yK5H_U3nO[/img] [/i][/center]
Modifica el tamaño del segmento a discreción y responde a las preguntas propuestas sobre la distancia del punto al segmento
¿Cuál (es) de las siguientes afirmaciónes es(son) verdadera(s)?
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img width=33,height=16]https://lh6.googleusercontent.com/HbAH2mebcysRnMelxS_0J_5vqBS9AfWWOyHrVuufme0xTdLK4IntOfXPUB0lQp4LK0oX604j2sOT7Wr086EsCqUVast05M61VBGsJS_kIs3BJhbKpUbsHm0V-A05JY9HyIvNIrWw[/img][br][br][img]data:image/png;base64,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[/img]
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img width=33,height=16]https://lh6.googleusercontent.com/HbAH2mebcysRnMelxS_0J_5vqBS9AfWWOyHrVuufme0xTdLK4IntOfXPUB0lQp4LK0oX604j2sOT7Wr086EsCqUVast05M61VBGsJS_kIs3BJhbKpUbsHm0V-A05JY9HyIvNIrWw[/img].[br][br][br][br][img]data:image/png;base64,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[/img]
De la siguiente figura, hallar la distancia del punto [math]F[/math] al segmento [img 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[/img]

Mediatriz de un segmento

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]
Puedes apoyarte en este tutorial para completar tu construcción
¿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]

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