- A transformation in Absolute Geometry is a
- function(or mapping) f that associates with each point P with another point P’; we denote this f(P) = P’ such that
o f is 1-1 ( i.e. P ≠ Q ⇒ f(P) ≠ f(Q))
o f is onto
· A mapping f is said to preserve collinearity if given three collinear points, their images under f are also three collinear points.
·If a transformation preserves collinearity then it is called a linear transformation.