Free OnlineCalculators & Converters
Midpoint Calculator
Find the midpoint between two points in 2D or 3D space. Also find a missing endpoint given one endpoint and the midpoint.
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Point 1
Point 2
Key Features — Midpoint Calculator
2D midpoint: M = ((x₁+x₂)/2, (y₁+y₂)/2)
3D midpoint with z-coordinates
Find missing endpoint from midpoint
Exact decimal output
Why Use This Tool — Midpoint Calculator
Free Online Midpoint calculatorCalculate midpoint — for EveryoneFast & Easy Midpoint formula calculatorMidpoint between two points — 100% FreeFree Online Find midpoint coordinates
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Frequently Asked Questions — Midpoint Calculator
What is the midpoint formula?
The midpoint M between (x₁,y₁) and (x₂,y₂) is M = ((x₁+x₂)/2, (y₁+y₂)/2). For 3D points: M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2). The midpoint is exactly halfway between the two points.
How do I find a missing endpoint from the midpoint?
If you know one endpoint (x₁,y₁) and the midpoint M(mx,my), find the other endpoint: x₂ = 2·mx − x₁, y₂ = 2·my − y₁. Example: endpoint (2,3), midpoint (5,7) → other endpoint = (2·5−2, 2·7−3) = (8,11).
When is the midpoint formula used?
The midpoint formula is used in geometry (bisecting line segments, finding centers of shapes), computer graphics (drawing between pixels), navigation (finding halfway points), and physics (center of mass for equal masses). It's also used in the midpoint method for numerical integration.