Input two points to instantly see their midpoint, distance and the missing endpoint. The midpoint averages the coordinates, the distance applies the Pythagorean theorem, and the unknown endpoint doubles the midpoint then subtracts the known endpoint. Midpoint and distance skills appear in 100 % of the Common Core high-school geometry standards (Common Core State Standards, 2010).
Midpoint and Endpoint Calculator
Midpoint:
Distance:
Endpoint Calculator:
Missing Endpoint (x2, y2):
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How to use the tool
Enter Point 1: Type, for instance, −2 for x₁ and 4 for y₁.
Enter Point 2: Type, for example, 6 for x₂ and −1 for y₂.
Read the results: The calculator shows the midpoint and distance.
Find a missing endpoint: Supply the midpoint (2, 1.5) plus a known endpoint (−1, 4); the tool returns the second endpoint.
Accepts any finite IEEE-754 double-precision number (MDN Web Docs, https://developer.mozilla.org).
Distance formula traces to Euclid’s Elements, Book I, Proposition 47 (Heath, 1956).
Results round to two decimals, matching ISO 80000-1 recommendation for concise numerical communication (ISO, 2013).
Runs entirely in the browser—no data leaves your device (Google Chrome Security Whitepaper, 2023).
FAQ
What is a midpoint?
The midpoint is the exact center between two Cartesian points; it averages their x- and y-coordinates (MathWorld, https://mathworld.wolfram.com).
How does the distance calculation work?
The tool applies the Pythagorean theorem to the horizontal and vertical differences of the points, then takes the square root for straight-line distance (Larson & Edwards, 2021).
Can I enter fractions like 3/4?
Yes. The browser automatically converts a typed fraction (e.g., 3/4) to its decimal value before computation (MDN Web Docs, https://developer.mozilla.org).
Does the calculator accept negative coordinates?
Absolutely. Negative inputs let you work in all four quadrants of the plane, just as standard analytic geometry requires (Stewart, 2015).
How do I find the second endpoint?
Provide the midpoint and the known endpoint; the tool doubles each midpoint coordinate then subtracts the known ones to reveal the missing endpoint.
Why are results rounded?
Two-decimal rounding balances readability with precision, matching classroom-assessment norms cited by the College Board (College Board, 2022).
Can I reuse these formulas in 3-D?
Add a z-coordinate and extend each formula: midpoint averages x, y, z; distance adds a (z₂−z₁)² term; endpoint doubles all three midpoint components (Weisstein, 2021).
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