Mathematiques
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Endpoint Calculator.
Find the missing endpoint when the other endpoint and midpoint are known.
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Results update automatically as you type.
Use Cases
Solve geometry homework problems
Quickly find the missing endpoint when given one endpoint and the midpoint, a common problem in coordinate geometry.
Example: If endpoint A is (2,3) and midpoint M is (5,7), find endpoint B.
Verify manual calculations
Check your work when solving for an endpoint in math assignments or exam prep, ensuring accuracy.
Example: Double-check your computed endpoint for a line segment with midpoint (0,0) and endpoint (-4,6).
Frequently Asked Questions
- How do I use the endpoint calculator?
- Enter the x and y coordinates of the known endpoint and the midpoint. The calculator will compute the coordinates of the missing endpoint using the midpoint formula.
- What is the formula for finding an endpoint?
- If the midpoint is (xm, ym) and the known endpoint is (x1, y1), the missing endpoint (x2, y2) is calculated as x2 = 2*xm - x1 and y2 = 2*ym - y1.
- Can this calculator handle negative coordinates?
- Yes, the calculator accepts negative values for the known endpoint and midpoint coordinates, and it will correctly compute the missing endpoint.
Tips & Common Mistakes
Tips
- Ensure you enter the correct coordinates for the known endpoint and midpoint; swapping them will give a different result.
- Remember that the midpoint is the average of the endpoints, so the missing endpoint is twice the midpoint minus the known endpoint.
- Use the calculator to check your work on practice problems to build confidence in using the midpoint formula.
- If you have the coordinates of both endpoints, you can verify the midpoint by averaging them.
Common Mistakes to Avoid
- Entering the midpoint coordinates as an endpoint, or vice versa, leading to an incorrect missing endpoint.
- Forgetting to double the midpoint coordinates before subtracting the known endpoint, resulting in a wrong answer.
- Misreading negative signs in coordinates, especially when the midpoint or endpoint has negative values.
Last updated: August 13, 2026