Endpoint Calculator

Endpoint Calculator

Find the missing endpoint of a segment when one endpoint and the midpoint are known.

Last updated: June 2026 | By Patchworkr Team

Missing Endpoint Solver
Other Endpoint

Enter the known endpoint and midpoint as real numbers.

What is the Endpoint Formula?

If you know one endpoint and the midpoint, the other endpoint is determined uniquely.

x2 = 2*mx - x1
y2 = 2*my - y1

The formula is just the midpoint equation solved for the unknown point.

How to Use

1. Enter the known endpoint.

2. Enter the midpoint.

3. Read the other endpoint from the live result panel.

Worked Example

If the known endpoint is (1, 2) and the midpoint is (4, 5):

x2 = 2*4 - 1 = 7

y2 = 2*5 - 2 = 8

The missing endpoint is (7, 8).

FAQ

Is the solution unique?

Yes. One endpoint and the midpoint determine the other endpoint exactly.

Can coordinates be negative?

Yes. The algebra works for any real coordinates.

Does this extend to 3D?

Yes, solve z2 = 2*mz - z1 as well.

What if the midpoint equals the known endpoint?

Then the other endpoint is the same point.

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