The Reflection Calculator finds the coordinates of a point after it’s reflected across the x-axis, y-axis, origin, or the line y = x. Simply fill in the fields above and click Calculate to get an instant result.
This calculator is part of Calculate Wiki’s Math Calculators collection.
What You’ll Need
- Point X and Point Y
- Reflection Line — x-axis, y-axis, origin, or y = x
Formula Used
Across x-axis: (x, −y)
Across y-axis: (−x, y)
Across origin: (−x, −y)
Across y = x: (y, x)
Example Calculation
Using example inputs — Point = (3, 4); Reflect Across = X-axis — the Reflection Calculator returns:
| Value | Result |
|---|---|
| Reflected point | (3, -4) |
(3, -4) — reflected from (3, 4).
Helpful Information
Results from the Reflection Calculator are based on standard coordinate geometry formulas used in the math calculators field.
Frequently Asked Questions
Is the Reflection Calculator free to use?
Yes — the Reflection Calculator on Calculate Wiki is completely free, with no sign-up required.
How accurate is the Reflection Calculator?
The Reflection Calculator uses a standard, well-documented formula from the math calculators field. Results are exact, not estimates.
Can I use this on my phone?
Yes, this calculator is fully mobile-friendly and works on any modern browser.
What does the result mean?
For the example values shown above, reflecting (3, 4) across the x-axis gives (3, -4).