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Midpoint Calculator – 2D and 3D

Find the point halfway between two Cartesian coordinates.

Midpoint x

3.000000
Midpoint y
5.000000
Midpoint z
0.000000

Formula

M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2).

Midpoint x ≈ ((1)+(5))÷2 · Midpoint y ≈ ((2)+(8))÷2 · Midpoint z ≈ ((0)+(0))÷2

How to use

  1. Enter the first endpoint.
  2. Enter the second endpoint in the same coordinate system.
  3. Read the midpoint coordinates.

Examples

  • (1, 2) and (5, 8) have midpoint (3, 5).

Frequently asked questions

How do I use 2D coordinates?

Set z₁ and z₂ to zero; read the x and y results.

Are negative coordinates allowed?

Yes. Keep all coordinates in the same Cartesian system and unit.

What if both endpoints match?

The midpoint is that same point.

Sources

Updated:

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