Is the midpoint always between the two points?

Yes. The midpoint lies on the segment exactly halfway from each endpoint.

Can I use the midpoint to find a missing endpoint?

Yes. If you know the midpoint and one endpoint, solve M = ((x1 + x2)/2, (y1 + y2)/2) for the unknown coordinates.

Geometry

Midpoint Calculator

Find the midpoint of a segment between two points by averaging the x- and y-coordinates, with steps.

Find the midpoint

x1y1x2y2

Answer

M = (3, 4)

$M = ((x_{1} + x_{2}) /2, (y_{1} + y_{2}) /2)$
Mx = (1 + 5) / 2 = 3
My = (2 + 6) / 2 = 4

How to use the midpoint calculator

The midpoint of a segment is the point exactly halfway between its endpoints. You find it by averaging the x-coordinates and the y-coordinates separately.

Enter the two endpoint coordinates.
Add the x-values and divide by two for the midpoint x.
Add the y-values and divide by two for the midpoint y.
Combine them into the ordered pair M.

Formula or method

M = ((x1 + x2)/2, (y1 + y2)/2).

Worked examples

Midpoint of a segment

Problem: (1, 2) and (5, 6)

Solution: M = ((1 + 5)/2, (2 + 6)/2) = (3, 4).

Midpoint with negatives

Problem: (-3, 4) and (5, -2)

Solution: M = ((-3 + 5)/2, (4 + -2)/2) = (1, 1).