[justify]Simetría es un concepto que deriva del latín symmetria, hace referencia a la correspondencia que se [br]registra entre la posición, la forma y el tamaño de los componentes de un todo. [br]Para determinar si existe la simetría axial, se considera que los puntos que pertenecen a una [br]figura, sean coincidentes con los puntos que forman parte de otra figura, tomando a modo de referencia [br]eje de simetría (una recta). De esta manera, la simetría axial supone un fenómeno similar al que [br]ocurre cuando un espejo refleja una imagen. Con la simetría axial, las figuras simétricas disponen de puntos homólogos. El punto A de una figura es homólogo al punto A’ de la otra figura, el punto B de una figura es homólogo al punto B’ de la otra figura, etc.[/justify]

¿Cómo podríamos hacer la construcción de un punto simétrico sin utilizar esta herramienta?

Parte 1- Utilizando geogebra (pero sin usar la herramienta simetría) [br]a. En un plano cartesiano ubica los puntos de la figura 1: A(2,4), B(5,4), C(4,-1)[br]b. Traza su simetría axial a partir del eje dado por la ecuación y=-2x+4 ¿Cómo podrías hacerlo?[br][br]Para ello, debes revisar la definición de simetría axial:[br][i]Dada una recta se llama simetría axial de eje al movimiento que transforma a un punto P en otro punto P' verificando que:[br]- El segmento PP' es perpendicular al eje e.[br]-Los puntos P y P' equidistan del eje e.[br]Dicho de otra forma, el [b]eje e[/b] es mediatriz del segmento PP'.[/i][br][br][br]

Desde el punto de vista formal, una traslación T de vector [math]a^{\longrightarrow}[/math]a es un movimiento del plano que un punto p se mueve en línea recta hasta el punto p', tal que pp'=[math]a^{\longrightarrow}[/math]

Un vector es un segmento de una línea recta con dirección y sentido, que representa magnitudes físicas o matemáticas.[br][br]Los vectores poseen las siguientes características:[list][*]Módulo o amplitud. La [url=https://concepto.de/longitud/]longitud[/url] gráfica que equivale, dentro de un plano, a la magnitud del vector expresada numéricamente.[/*][*]Sentido. Representado por la punta de la flecha que gráficamente representa al vector, indica el lugar geométrico hacia el cual se dirige el vector.[/*][*]Punto de aplicación. Correspondiente al lugar o punto [url=https://concepto.de/geometria/]geométrico[/url] en donde inicia el vector.[/*][*]Nombre o denominación. Representado mediante una letra que acompaña al vector gráficamente representado y sirve para identificarlo en una operación.[/*][/list]

Pero, ¿cómo podríamos hacer la traslación en geogebra sin utilizar la herramienta "traslación"?

La [b]rotación[/b] es otro tipo de transformación geométrica en el plano. A diferencia de la traslación, que “desplaza” una figura, la rotación la [b]gira alrededor de un punto fijo[/b] (llamado [b]centro de rotación[/b]) un cierto [b]ángulo[/b] y en una determinada [b]dirección[/b] (sentido horario o antihorario).[br][br]Elementos clave de la rotación[list][*][b]Centro de rotación[/b]: el punto fijo alrededor del cual gira la figura (puede ser el origen u otro punto).[br][/*][*][b]Ángulo de rotación[/b]: medida del giro, en grados o radianes.[br][/*][*][b]Sentido de rotación[/b]: horario (a la derecha) o antihorario (a la izquierda).[br][/*][/list]

a. Abre geogebra y ubica los puntos A=(2;4) y B=(0,0)[br]b. Realiza una rotación del punto A con centro en B y un ángulo=20 grados.

Supongamos que en un sistema de ejes cartesianos tenemos:[br]el punto A=(a;b);[br]el centro B=(c;d)[br]y el ángulo [math]\alpha[/math][br][br]¿Cómo podemos saber cuál será la coordenada del punto transformado?[br]Para ello, se utilizan los siguientes pasos:[br][list=1][*][b]Identificar el centro de rotación: [/b]Generalmente se usa el origen O(0,0), pero puede ser cualquier punto.[br][/*][*][b]Seleccionar el ángulo: [/b]Por ejemplo, 90∘ antihorario.[br][/*][*][b]Aplicar las fórmulas[/b] [/*][/list][u][b][color=#0000ff]Para cuando el centro de rotación es el origen:[/color][/b][/u][br]Para un punto P(x,y):[br][center]x′=x⋅cos⁡θ−y⋅sin⁡θ[br]y′=x⋅sin⁡θ+y⋅cos⁡θ[/center][br][br]4. [b]Obtener el nuevo punto: [/b]Ese será el transformado P′(x′,y′).[br][br]Ejemplo: Rotemos el punto A(2,1) utilizando un ángulo de 90∘ antihorario.[br][br][center]x′=2⋅cos⁡90∘−1⋅sin⁡90∘[br]x′=2⋅0−1⋅1=−1[br][br]y′=2⋅sin⁡90∘+1⋅cos⁡90∘[br]y′=2⋅1+1⋅0=2[/center]Entonces el punto A'=(-1;2)[br][br][b][u][color=#0000ff]Si el centro de rotación es diferente del origen deben hacerse cálculos auxiliares.[/color][/u][/b][br]

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[/img]