Respuesta :

Answer:

The midpoints are ( 5, 6 ).

Step-by-step explanation:

Given that the endpoints are  H ( 3, 8) and K (7, 4)-

As we know that-

If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex]) and  ( [tex]x_{2}, y_{2}[/tex] ) then the mid points C are-  

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

Here,

H ( 3, 8 ) and K ( 7, 4 )

then the  midpoints C are-

C = ( [tex]\frac{3 + 7 }{2}[/tex] , [tex]\frac{ 8 + 4 }{2}[/tex]

C= ( 10/2 , 12/2 )

C = ( 5, 6 )

Hence the midpoints are (5, 6).

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