Finding the Midpoint of a Segment: A Step-by-Step Guide with Examples and Formulas

midpoint of a segment

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

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

To find the midpoint of a segment, you need to know the coordinates of the two endpoints of the segment. Let’s say the coordinates of one endpoint are (x1, y1) and the coordinates of the other endpoint are (x2, y2).

To find the midpoint, you need to find the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

The x-coordinate of the midpoint is calculated by taking the average of the x-coordinates:
Midpoint x-coordinate = (x1 + x2) / 2

The y-coordinate of the midpoint is calculated by taking the average of the y-coordinates:
Midpoint y-coordinate = (y1 + y2) / 2

So, the coordinates of the midpoint are (Midpoint x-coordinate, Midpoint y-coordinate).

For example, let’s say we have a segment with endpoint coordinates (2, 4) and (6, 8). We can find the midpoint as follows:

Midpoint x-coordinate = (2 + 6) / 2 = 8 / 2 = 4
Midpoint y-coordinate = (4 + 8) / 2 = 12 / 2 = 6

Therefore, the midpoint of the segment with endpoint coordinates (2, 4) and (6, 8) is (4, 6).

More Answers: