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

The answer is B. (2, 2).
The midpoint (M) of two points (x1, y1) and (x2, y2) is:
M = ((x1 + x2)/2, (y1 + y2)/2).
We know that the points of CD are C(-4, 8) and D(8, -4). So we have:
x1 = -4, y1 = 8, x2 = 8, y2 = -4.
Now when we have all we need, let's calculate the midpoint M.
M = ((x1 + x2)/2, (y1 + y2)/2);
M = (((-4) + 8)/2, (8 + (-4))/2);
M = ((8 - 4)/2, (8 - 4)/2);
M = (4/2, 4/2); M = (2, 2).
Therefore, the midpoint of CD is (2, 2).