Endpoint Calculator

Calculate the endpoint of a line segment given one endpoint and the midpoint.

Calculator

Enter Coordinates

First Point

Midpoint

Table of Contents

1 What is an Endpoint?
2 Endpoint Formula
3 How to Calculate Endpoint
4 Practical Examples
Concept

What is an Endpoint?

An endpoint is one of the two points that mark the ends of a line segment. When given one endpoint and the midpoint of a line segment, we can calculate the other endpoint.

Formula

Endpoint Formula

Endpoint Formula

E = (2M - P)

where E is the endpoint, M is the midpoint, and P is the known endpoint

Steps

How to Calculate Endpoint

  1. 1
    Identify the coordinates of the known endpoint and midpoint
  2. 2
    Multiply the midpoint coordinates by 2
  3. 3
    Subtract the known endpoint coordinates
  4. 4
    The result gives the coordinates of the unknown endpoint
Examples

Practical Examples

Example 1

Find the endpoint when one endpoint is (2, 4) and the midpoint is (4, 6)

E = (2M - P)

E = (2(4, 6) - (2, 4))

E = ((8, 12) - (2, 4))

E = (6, 8)

Example 2

Find the endpoint when one endpoint is (-3, 5) and the midpoint is (2, 2)

E = (2M - P)

E = (2(2, 2) - (-3, 5))

E = ((4, 4) - (-3, 5))

E = (7, -1)

Tools

Geometry Calculators

Square Area Calculator Area Calculator Triangular Prism Volume Calculator Triangle Perimeter Calculator Sector Area Calculator