Work out translation transformation instantly with clear inputs, formula shown and shareable results.
A translation adds a fixed vector to every point: (x, y) → (x + dx, y + dy). It preserves lengths, angles and orientation, so the shape is congruent to the original.
Translation
(x, y) → (x + dx, y + dy), distance = √(dx² + dy²)
The image is (7, −1) and the point has moved √41 ≈ 6.403124 units.
No. Every translation is an isometry, so lengths and angles are unchanged.