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 maps act like a rotation followed by a uniform scaling at every point. In other words, if you zoom in very close to a point, lengths in all directions get stretched by the same factor (the same in every direction), though that factor can be different from point to point. This isotropic, direction-independent scaling at each point is what makes angles look the same after the map, even though the overall size can change from place to place. That local, equal-in-all-directions scaling is the defining feature, so saying that scale is the same in every direction from any point captures the essence of a conformal map.