MihsabaHow to use
The Cartesian midpoint is the coordinate-wise average of the two endpoints of a segment. Work in 2D or 3D; this tool stays focused on coordinate geometry rather than geographic or road-route midpoints.
- Choose 2D or 3D.
- Enter the first point.
- Enter the second point.
- Review the midpoint, coordinate deltas and half-displacement vector.
How it is calculated
M=((x₁+x₂)÷2,(y₁+y₂)÷2[, (z₁+z₂)÷2])
Example
Between A(2,4) and B(8,10), the midpoint is M(5,7). In 3D the same averaging rule also applies to z.
Important notes
This is a Cartesian-coordinate tool, not a geographic great-circle or driving midpoint calculator. Latitude/longitude needs a spherical or geodesic model.
Frequently asked questions
Is the midpoint always on the segment?
Yes, in Euclidean Cartesian space it lies halfway along the segment.
Does it support 3D?
Yes, by averaging z₁ and z₂ as well.
Does point order matter?
No. Averaging is symmetric.
Is this calculator free?
Yes. It is free to use and requires no account.