SOLUTION: Find the midpoint given two points: [(a+b)/2, (c+d)/2] and [(a-b)/2, (c-d)/2].

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Question 1209041: Find the midpoint given two points: [(a+b)/2, (c+d)/2] and [(a-b)/2, (c-d)/2].
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

x-coordinate of the midpoint is half of the sum of x-coordinates of the given points

    x = %281%2F2%29%2A%28%28a%2Bb%29%2F2+%2B+%28a-b%29%2F2%29%29 = 0.5a.



y-coordinate of the midpoint is half of the sum of y-coordinates of the given points

    x = %281%2F2%29%2A%28%28c%2Bd%29%2F2+%2B+%28c-d%29%2F2%29 = 0.5c.


Thus the midpoint is  (x,y) = (0.5a,0.5c).    ANSWER

Solved.