[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]
[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]
Marca todas las alternativas correctas en función a lo observado en tu construcción
Marca todas las alternativas correctas en función a lo observado en tu construcción
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]
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]
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]
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]