How To Find The Midpoint Of A Line Segment: Step-By-Step Guide With Formula And Examples


A point that divides a segment into two congruent segments

The midpoint is the point that divides a line segment into two equal parts. It can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.

The formula for finding the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

For example, consider the line segment with endpoints (3, 2) and (-1, 6). To find the midpoint of this line segment, we use the formula:

Midpoint = [(3 + (-1))/2, (2 + 6)/2]
= [1, 4]

Therefore, the midpoint of the line segment with endpoints (3, 2) and (-1, 6) is (1, 4).

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