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Midpoint Formula

The midpoint M between points (x,y) and (a,b) is given by

In other words, to find the midpoint, simply average the corresponding coordinates of the two points.

In the figure, polygon PQRO is a square and T is the midpoint of side QR. What are the coordinates of T ?
A.   (1, 1)
B.   (1, 2)
C.   (1.5, 1.5)
D.   (2, 1)
E.    (2, 3)

Since point R is on the x-axis, its y-coordinate is 0.


Further, since PQRO is a square and the x-coordinate of Q is 2, the x-coordinate of R is also 2.


Since T is the midpoint of side QR, the midpoint formula yields


The answer is (D).

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