Which property is described by the definition of conformal?

Which property is described by the definition of conformal?

• A. Conformal property
• B. Equal-area property
• C. Isometric property
• D. Affine property

Answer: (A)

Conformality is about preserving angles locally. A map that is conformal keeps the angle between any pair of intersecting curves the same at each point, even though it may stretch or shrink lengths by a factor that can vary with location. That angle-preserving feature is what defines the conformal property. The other options describe different invariants: preserving area (equal-area) would keep sizes but not necessarily angles; preserving lengths (isometric) would require no scaling at all; and affine transformations include stretches that can distort angles. So the property described by the definition of conformal is the angle-preserving, or conformal, property.