Originally Posted by

**spectralsea** *The square metric defines the distance between two points (x1, y1) and (x2, y2) in R^2 by:*

D((x1,y1),(x2,y2)) = max{|x2 - x1|, |y2-y1|} where the function max{a,b} denotes the larger of the two real numbers a and b.

Sketch all points (x,y) in R^2 such that D((0,0),(x,y)) = 1. Measure angles in the usual way. Show by example that R^2 with the square metric does not satisfy the SAS Postulate.

I've already graphed the points that satisfy D((0,0),(x,y))=1. It is the square formed by connecting (1,1), (1,-1), (-1,1), (-1,-1). However, I'm not sure what they mean by using the square metric to show it does not satisfy SAS. Help please!