Respuesta :

The coordinates of the midpoint of CD is [tex](2, -1)[/tex].

What is a midpoint?

"The midpoint of a segment can be considered to be the average of its endpoints."

Given end points of CD

C (-2, -4) and D (6, 2)

The coordinates of the midpoint of CD = ?

Formula to find the midpoint of CD

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

C = ([tex]x_{1}[/tex], [tex]x_{2}[/tex]) = (-2, -4) and D = ([tex]y_{1}[/tex], [tex]y_{2}[/tex]) = (6, 2)

Midpoint of CD = [tex](\frac{-2+6}{2}, \frac{-4+2}{2} )[/tex]

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

= [tex](2, -1)[/tex]

Midpoint of CD =  [tex](2, -1)[/tex]

Hence, The coordinates of the midpoint of CD is [tex](2, -1)[/tex].

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