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)

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

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)

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