Midpoint Formula

 

Numerically, the midpoint of a segment can be considered to be the average of its endpoints. This concept should help 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.

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Example 1

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

By the midpoint formula,

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Figure 1. Finding the midpoint.

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