Question

What is the midpoint of CD given the coordinates C(-4,8) and D(8,-4)?

A. (0,0)
B. (2,2)
C. ( 4,4)
D. (6,6)

Answer 1

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

Answer 2

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

Option (B) is correct .

Explanation:

The Midpoints are given by .

`Midpoints = ((x_(2)+x_(1))/(2),(y_(2)+y_(1))/(2))`

As given

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

`Midpoints\ of\ CD = ((8-4)/(2),(-4+8)/(2))`

`Midpoints\ of\ CD = ((4)/(2),(4)/(2))`

Midpoints of CD = (2,2 )

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

Option (B) is correct .