Respuesta :

Answer:

(- 1, 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = A (2, 4 ) and (x₂, y₂ ) = C (- 4, - 2 ) , then

midpoint = ( [tex]\frac{2-4}{2}[/tex] , [tex]\frac{4-2}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex] , [tex]\frac{2}{2}[/tex] ) = (- 1, 1 )

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