What is the midpoint formula?

For two points A(x1, y1) and B(x2, y2), the midpoint M is ((x1+x2)/2, (y1+y2)/2). In 3D, you also average the z coordinates: ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).

Can this calculator handle negative coordinates?

Yes. Enter negative values with a minus sign (e.g. -3.5). The formula works the same for any real number.

Does it support decimal coordinates?

Yes. You can enter any decimal number such as 1.5, -2.75, or 0.333. Results are shown to 6 decimal places when needed.

What is the difference between 2D and 3D mode?

In 2D mode you provide x and y coordinates only. In 3D mode you also provide a z coordinate, which is useful for points in three-dimensional space.

Why is the midpoint always equidistant from both points?

By definition, averaging the coordinates places the midpoint exactly halfway along each axis, making the Euclidean distance from the midpoint to either endpoint identical.

Midpoint Calculator

Find the midpoint between two points in 2D or 3D space by entering their coordinates.

Coordinate Mode

Point A

x₁

y₁

Point B

x₂

y₂

Midpoint

Enter coordinates on the left to calculate the midpoint.

Visual

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Summary

The Midpoint Calculator finds the exact center point between two coordinates in either 2D (x, y) or 3D (x, y, z) space. It applies the midpoint formula — averaging each coordinate pair — to return the precise midpoint. Results update instantly as you type.

How it works

Select 2D or 3D mode depending on your coordinate system.
Enter the x, y (and z for 3D) coordinates for Point A.
Enter the x, y (and z for 3D) coordinates for Point B.
The midpoint is calculated automatically using the midpoint formula.
Copy the result or use the visual diagram for reference.

Use cases

Find the center of a line segment on a graph.
Calculate the center point between two map coordinates.
Locate the midpoint of a 3D object in CAD or game development.
Verify geometry homework or exam answers.
Split a line segment evenly in engineering drawings.
Compute meeting points equidistant from two locations.

Frequently Asked Questions

Last updated: 2026-05-29 · Reviewed by Nham Vu