RECTAS PARALELAS Y RECTAS PERPENDICULARES



* SI DOS RECTAS TIENEN LA MISMA PENDIENTE SON PARALELAS.

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* DOS RECTAS SON PERPENDICULARES SI LA PENDIENTE DE UNA RECTA ES LA RECÍPROCA NEGATIVA DE LA PENDIENTE DE LA OTRA.

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EJEMPLOS


DETERMINA SI LA RECTA QUE PASA POR LOS PUNTOS (6,0) , (0,4) Y LA QUE PASA POR (0,2) Y (3,0) SON PARALELAS.

                


       Y2 - Y1                                                            Y2  - Y1                                                                       
m= ------------                                                m= --------------                  
        X2 - X                                                           X2 - X1



        4 - 0                                                                 0 - 2
m= ------------                                               m= --------------
        0 - 6                                                                 3 - 0


           4                                                                     - 2
m= ------------                                               m= --------------
         - 6                                                                       3


         _   2                                     _    2
m=       -----                         m=       -----
              3                                           3


              ESTAS RECTAS SI SON PARALELAS


DEMUESTRA QUE LA RECTA QUE PASA POR LOS PUNTOS (2,5), (-3,-2) ES PERPENDICULAR ALA RECTA QUE PASA POR LOS PUNTOS (4,-1) CON (-8/5, 3).



        Y2 - Y1                                                                   Y2 - Y1
m= ------------                                                       m= --------------
       X2 - X1                                                                    X2 - X1



         -2 - 5                                                                     3 - (-1)
m= ------------                                                      m= --------------
        - 3 - 2                                                                  - 8/5 - 4



            - 7                                                                          3 + 1
m= ------------                                                      m= -----------------
           - 5                                                                     -8/5 - 20/5



          - 7                                                                           4
m= ------------                                                     m= --------------  
          - 5                                                                        -28/5 


           
         7                                               _    5
m= -----                                     m=      -----
         5                                                     7 


ESTAS RECTAS SI SON PERPENDICULARES







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