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Midpoint Formula

Numerically, the midpoint of a segment can be considered to be the average of its endpoints. This concept helps in remembering a formula for finding the midpoint of a segment, given the coordinates of its endpoints. Recall that the average of two numbers is found by dividing their sum by two.




Example 1: In Figure 1 , R is the midpoint between Q(−9,−1) and T(−3,7). Find its coordinates.





Figure 1

Finding the midpoint.

By the midpoint formula,




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