How to Find the Midpoint of a Line Segment: A Step-by-Step Guide with Examples

Midpoint

The midpoint of a line segment is the point that divides the segment into two equal halves

The midpoint of a line segment is the point that divides the segment into two equal halves. It is the point that is equidistant from both endpoints of the segment.

To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), you can use the midpoint formula:

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

Let’s work through an example:
Suppose we have a line segment with endpoints (2, 3) and (8, 5). We want to find the midpoint of this segment.

Using the midpoint formula:

Midpoint = ( (2 + 8)/2 , (3 + 5)/2 )
= ( 10/2 , 8/2 )
= ( 5 , 4 )

Therefore, the midpoint of the line segment with endpoints (2, 3) and (8, 5) is (5, 4).

Remember, the midpoint is the average of the x-coordinates and the average of the y-coordinates of the endpoints. It is a useful concept in geometry, especially when working with line segments.

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