**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.

Example

In the figure, polygon

*PQRO*is a square and*T*is the midpoint of side*QR*. What are the coordinates of*T*?- (1, 1)
- (1, 2)
- (1.5, 1.5)
- (2, 1)
- (2, 3)

Solution

Since point
Further, since
Since
The answer is (D).

*R*is on the*x*-axis, its*y*-coordinate is 0.*PQRO*is a square and the*x*-coordinate of*Q*is 2, the*x*-coordinate of*R*is also 2.*T*is the midpoint of side*QR*, the midpoint formula yields