Work out reflection transformation instantly with clear inputs, formula shown and shareable results.
Reflection flips a point across a mirror line. In the x-axis y changes sign, in the y-axis x changes sign, in y = x the coordinates swap, in y = −x they swap and both negate, and through the origin both simply negate.
In the x-axis
(x, y) → (x, −y)
In y = x
(x, y) → (y, x)
Through the origin
(x, y) → (−x, −y)
It becomes (3, −5), a displacement of 10 units.
Yes, in two dimensions they are identical maps.