Midpoint Calculator
Splitting the Difference in Two Dimensions
The midpoint is the single point sitting exactly halfway between two others, and finding it is just an average applied separately to each coordinate axis. It shows up in geometry proofs, but it's just as common in practical layout work, where "exactly centered between these two points" is a real design requirement, not just an abstraction.
The Formula
M = ((x1+x2)/2, (y1+y2)/2)
Each coordinate of the midpoint is the simple average of the corresponding coordinates of the two endpoints.
Where the Midpoint Is Used
- Construction and layout — centering a fixture, beam, or object exactly between two reference points.
- Geometry proofs — constructing perpendicular bisectors and medians relies on locating a segment's midpoint.
- Mapping and GIS — finding a central meeting point between two locations before accounting for road networks.
- Computer graphics — subdividing line segments and curves for rendering and animation.
| Point 1 | Point 2 | Midpoint |
|---|---|---|
| (1, 2) | (4, 6) | (2.5, 4) |
| (−3, 5) | (7, −1) | (2, 2) |
How to Use This Calculator
- Enter X1 and Y1 for the first point.
- Enter X2 and Y2 for the second point.
- Select Calculate to see the midpoint coordinates.
Related Calculations
Need the distance between the same two points instead? See the Euclidean Distance Calculator. For the line's steepness through both points, see the Slope Calculator.