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CONDICIONES DE PARALELISMO Y PERPENDICULARIDAD

Dentro de la infinidad de posiciones que pueden tener dos líneas rectas, podemos identificar muy fácilmente cuando dos líneas son paralelas o perpendiculares comparando el valor de sus pendientes.

Es decir, podemos saber si son paralelas o perpendicular sin necesidad de verlas.

PARALELISMO:


Dos rectas son paralelas si:

Sus pendientes son iguales: m1 = m2

PERPENDICULARIDAD:


Dos rectas son perpendiculares si sus pendientes:

m1 = – (1/ m2)    o      m1 * m2 = -1

Ejemplos de paralelismo y perpendicularidad:

1.- Determina cuál de las siguientes ecuaciones representa una recta paralela a:

         Como lo único que se tiene que hacer es comparar la pendiente de las rectas, y en las respuestas en todas, la pendiente es explicita, solo tenemos que expresar la ecuación de la pregunta en la forma pendiente m y ordenada b:

Con esto podemos observar que la pendiente de esta recta es igual a 4, que es la misma que la de la opción a.

Mas ejemplos, ejercicios y preguntas clave de examen, en nuestras guías digitales.

error: Contenido Protegido !!
Curso para la UNAM

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