Endpoint Calculator - Find Missing Endpoint from Midpoint
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Endpoint Calculator

Find a missing endpoint from one endpoint and midpoint

Endpoint Formula

x₂ = 2mₓ - x₁, y₂ = 2mᵧ - y₁

The endpoint formula reverses the midpoint formula. Since the midpoint is the average of two endpoints, doubling the midpoint coordinate and subtracting the known endpoint gives the missing coordinate.

Enter one known endpoint and the midpoint. The result is the other endpoint of the same segment.

How Endpoint Calculation Works

A midpoint sits exactly halfway between two endpoints. The missing endpoint is found by reflecting the known endpoint across the midpoint.

Known Endpoint

One end of the segment is provided.

Midpoint

The midpoint is the exact center.

Reflection

The missing point is opposite the known point.

Verification

Averaging endpoints should return the midpoint.

💡 Example: Endpoint (2,3), midpoint (5,7): x2=8, y2=11.

Applications of Endpoint Calculation

Coordinate GeometrySegment ProblemsGraphingAnalytic Proofs

Frequently Asked Questions

What is an endpoint calculator?
It finds the missing endpoint of a segment when the other endpoint and midpoint are known.
What is the endpoint formula?
If M is midpoint, then x2=2mx-x1 and y2=2my-y1.
How do I use this calculator?
Enter one endpoint and the midpoint, then click Calculate.
Can endpoint coordinates be decimals?
Yes. The missing endpoint can be an integer, fraction, or decimal coordinate.
Where is endpoint calculation used?
It is used in coordinate geometry, segment problems, graphing, and analytic proofs.

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