Reflect a point across the x-axis, y-axis, origin, or the line y=x.
Reflection maps a point to its mirror image across a line or point. Standard reflections: x-axis flips y, y-axis flips x, origin flips both, y=x swaps coordinates.
Reflection across x-axis
(x, y) → (x, −y)
Reflection across y-axis
(x, y) → (−x, y)
Reflection across y=x
(x, y) → (y, x)
This calculator handles the five standard reflection axes. For an arbitrary line, use the general reflection formula involving the perpendicular foot.
Yes — it preserves distances and angles but reverses orientation (like a mirror).