Magnify a triangle with vertices A = (1,1), B = (3,1) and C = (2,2) to twice its size in such a way that A remains in its original position. 

Answer: You need to apply scaling by keeping the point (1,1) fixed.  For this, you require following sequence of operations. 

(i) Translating the triangle so that (1,1)  is at the origin

(ii) Scaling the triangle by a factor of 2 in both the coordinates

(iii) Translating the triangle back so that A is back to (1,1). The sequence of transformation is as follows. 

The triangle is transformed to a triangle with vertices  (1,1), (5,1), (3,3).