Work out dilation transformation instantly with clear inputs, formula shown and shareable results.
A dilation centred at C multiplies every displacement from C by k: P' = C + k(P − C). Lengths scale by |k| and areas by k²; a negative k also rotates the figure by 180° about the centre.
Dilation
P' = C + k(P − C), area scale = k²
It shrinks the figure toward the centre while keeping the same shape.
It enlarges by |k| and simultaneously turns the figure through 180° about the centre.