Ángulos en polígonos

Ángulos internos en polígonos.
La suma de los ángulos internos de un polígono de n-lados es 180º · (n - 2).[br][br]Comprueba que podemos hacer triángulos desde uno de los vértices (exactamente n-2 triángulos) de manera que la suma de los ángulos de los triángulos es igual a la suma de los ángulos del polígono.
Ángulos internos en polígonos regulares
La medida de cada ángulo en un n-ágono regular es [math]\frac{180º\cdot\left(n-2\right)}{n}[/math][br][br]Realiza las pruebas necesarias para comprobar esta fórmula
RESPONDE A LAS SIGUIENTES PREGUNTAS
Dado un icositetrágono regular, responde a las siguientes preguntas ¿Cuántos lados tiene un icositetrágono?
¿ Cuánto suman los ángulos internos del icositetrágono?
¿Cuánto mide cada ángulo interno del icositetrágono regular?

Figuras semejantes

Son aquellas que tienen la misma forma pero distinto tamaño. [br]Para que esto suceda debe ocurrir:[br][list][*]Ángulos correspondientes iguales[/*][*]Longitudes de segmentos correspondientes proporcionales. La razón de proporcionalidad se llama [b]razón de semejanza[/b][/*][/list]Para obtener la razón de semejanza, hacemos el cociente entre dos lados correspondientes.[br][br][img]https://www.juntadeandalucia.es/averroes/centros-tic/41701912/helvia/aula/archivos/_34/html/41/EDAD/4esomatematicasB/semejanza/imagenes6/3a.png[/img][br]Si la razón es mayor que 1, es una figura semejante mayor que la unidad. Si r está entre 0 y 1, la figura semejante será menor.[br][br][br][color=#000000][color=#069a2e][b]Importante:[/b][/color]Si la razón de semejanza entre dos figuras es k;[/color][br][br][color=#000000]1.-La razón entre sus perímetros es k[/color][br][br][color=#000000]2.-La razón entre sus áreas es k[sup]2[/sup] [/color][br][br][color=#000000]3.-La razón entre sus volúmenes k[sup]3[/sup][/color][br][br]
Ejemplo: Relación entre longitudes, áreas y volúmenes de dos figuras semejantes
[b]Pregunta 1:[/b] Los lados de un triángulo miden 12, 8 y 6 cm. Calcula la medida de los lados del triángulo semejante cuyo perímetro es 18 cm.
[b]Pregunta 2:[/b] Una constructora ha realizado la maqueta a escala 1:90 de un nuevo edificio con forma de pirámide cuadrangular. En la maqueta, la altura de la pirámide es de 5,3 dm y el lado de la planta es de 2,4 dm. Calcula el volumen real del edificio expresando en metros cúbicos el resultado.

Homotecia

Una homotecia es una transformación que produce figuras semejantes. La razón de semejanza será igual al valor absoluto de la razón de la homotecia.[br][br]Una homotecia de centro el punto O y razón k, hace corresponder a cada punto P de la figura inicial, otro punto P` tal que:[br][list][*]Los puntos O, P y P´ están alineados.[/*][*][math]\frac{OP'}{OP}=k[/math][br][/*][/list]

Teorema de Tales

[i]Si dos rectas cualesquiera se cortan por varias rectas paralelas, los segmentos determinados en una de las rectas son proporcionales a los segmentos correspondientes en la otra.[br][br][/i]Mueve los puntos rojo del applet que aparece a continuación para modificar la posición de las rectas. Mueve los puntos A, B y C y observa que ocurre.
Triángulos en posición de Tales
Responde ¿Son semejantes dos triángulos en posición de Tales?

CRITERIOS DE SEMEJANZA DE TRIÁNGULOS RECTÁNGULOS

Teoremas del cateto y la altura

Al dibujar un triángulo rectángulo apoyado sobre su hipotenusa y trazar la altura[br][img]data:image/png;base64,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[/img] Obtenemos [b]tres triángulos semejantes[/b].[br][br][img]data:image/png;base64,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[/img] [br]A partir de las proporciones que se establecen entre lados homólogos podemos enunciar dos teoremas sencillos y útiles para resolver problemas: [b]Teorema del cateto[/b] y [b]Teorema de la altura.[br][br][/b]Vemos a continuación su demostración y enunciado.([url=https://www.geogebra.org/u/leo+aranda]Leopoldo Aranda Murcia[/url])
Ejercicio 1.-
Tenemos un triángulo rectángulo, de forma que la altura relativa a la[br]hipotenusa determina sobre ésta, dos segmentos de longitudes 1,8[br]cm y 3,2 cm. Halla: [br]a) La longitud de la altura correspondiente a la hipotenusa. [br]b) La longitud de los catetos.[br]c) El área del triángulo.[br][br][img]data:image/png;base64,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[/img]

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