Endpoint Calculator

Starting point coordinates

Midpoint coordinates

Results

x₂

0

y₂

0

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What is Endpoint Calculator?

Recover the other end of a line segment from one endpoint and its midpoint.

2

How to Use This Calculator

  1. Enter or select x₁, y₁, x, y.
  2. Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
  3. Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used

x₂ = 2xₘ−x₁; y₂ = 2yₘ−y₁
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Variables Explained

InputWhat it means
x₁A value or coefficient in the formula above; keep the displayed position and sign.
y₁A value or coefficient in the formula above; keep the displayed position and sign.
xA value or coefficient in the formula above; keep the displayed position and sign.
yA value or coefficient in the formula above; keep the displayed position and sign.
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Worked Example

With endpoint (1,2) and midpoint (4,6), the other endpoint is (7,10).

6

Why Use This Calculator?

Recover a missing segment endpoint from a known midpoint.

7

Common Mistakes

    • Enter the midpoint as the midpoint, not as the second endpoint.
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Frequently Asked Questions

Should I round numbers before calculating?

Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.

Why can a manual calculation differ slightly?

Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.

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Sources & References