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If the coordinates of point P are (0,8) and the coordinates of point Q are ( 4,2), Which of the following points represents the midpoint of PQ ?

a) (0,2), b) (2,4), c) (2,5), d) (4,8), e) (4,10)

Verified Answer :

AL2006

The coordinates of the midpoint are just the average of the endpoint coordinates ...
x-mid is the average of the end-x's, and y-mid is the average of the end-y's.

P. x = 0, y = 8
Q. x = 4, y = 2

'x' of the midpoint is the average of 0 and 4 = (1/2)(0 + 4) = 2

'y' of the midpoint is the average of 8 and 2 = (1/2)(8 + 2) = 5

The midpoint is (2, 5) .

That's choice-'c'. 

There is midpoint formula for this problem:[ (x1+x2)/2, (y1+y2)/2 ], so all you need to do is plug in points given  P(x1=0, y1=8) and Q(x2=4, y2=2), which is [ (0+4)/2, (8+2)/2 ]=     [ 2, 5], so the answer is c)

Hope this helps!

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