Respuesta :

Use the midpoint formula:
M = ( (x1+x2 / 2), (y1+y2 / 2) )
M = ( (-4+8 / 2), (8-4 /2 ) )
M = (2, 2)

Answer:

The midpoints of C(-4,8) and D(8,-4) is (2,2) .

Option (B) is correct .

Step-by-step explanation:

The Midpoints are given by .

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

As given

The coordinates  of CD are C(-4,8) and D(8,-4) .

[tex]Midpoints\ of\ CD = (\frac{8-4}{2},\frac{-4+8}{2})[/tex]

[tex]Midpoints\ of\ CD = (\frac{4}{2},\frac{4}{2})[/tex]

Midpoints of CD = (2,2 )

Therefore the midpoints of C(-4,8) and D(8,-4) is (2,2) .

Option (B) is correct .