Endpoint Calculator
Find the other endpoint of a segment from one endpoint and the midpoint.
Change the values and press Calculate to work out your own figures.
Enter one endpoint and the midpoint.
Show the working
- x₂ = 2x_m − x₁, y₂ = 2y_m − y₁
How to use it
Enter one endpoint and the midpoint.
Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.
Key facts
x₂ = 2x_m − x₁; y₂ = 2y_m − y₁
Reflecting
The other endpoint is the first one reflected through the midpoint.
Questions
If one end is (1, 3) and the midpoint (3, 4)?
(5, 5).
If the midpoint is the origin?
The other end is (−x₁, −y₁).
Formulas
x₂ = 2x_m − x₁; y₂ = 2y_m − y₁
Sources
Limitations
- Vectors have two or three components (leave z blank for 2-D).
- Earth distances assume the WGS 84 ellipsoid (sea level).