Define conformal.

Define conformal.

• A. Scale is the same in every direction from any point
• B. Angles are preserved at every point
• C. Areas are preserved globally
• D. Distortion varies with location

Answer: (A)

Conformal mappings preserve angles between curves at every point. That means if two curves cross, the angle between their tangents is kept the same after applying the map. The transformation can stretch or shrink distances, and that stretching can vary from point to point, but at any single point it acts the same in all directions (local isotropic scaling) for that point. So the defining feature is angle preservation; distance or area can change, and the amount of distortion can depend on location.

Conformal mappings preserve angles between curves at every point. That means if two curves cross, the angle between their tangents is kept the same after applying the map. The transformation can stretch or shrink distances, and that stretching can vary from point to point, but at any single point it acts the same in all directions (local isotropic scaling) for that point. So the defining feature is angle preservation; distance or area can change, and the amount of distortion can depend on location.