Originally Posted by

**kalagota** well, maybe your software only gives you **one** transformation. but you were told that the transformation is composed of two transformation..

here are some observation from the original graph:

**first, **notice $\displaystyle PS$ and $\displaystyle GJ$.. basically, from horizontal, it became vertical.. you may infer that there is an multiple of $\displaystyle 90^\circ$ rotation. but of course, you should have been taught that $\displaystyle 90^\circ$ rotation clockwise is the same as $\displaystyle 270^\circ$ rotation anticlockwise or $\displaystyle 90^\circ$ rotation anticlockwise is the same as $\displaystyle 270^\circ$ rotation clockwise; you may infer indirectly that it must be a $\displaystyle 90^\circ$ rotation anticlockwise.. **problem1:** where is the center of rotation?

**second,** see that $\displaystyle |GJ|=2|PS|$.. so there must be an enlargement with 2 as a factor.. **problem2:** where is the center of enlargement?

if you were able to answer **problem1, **then **problem2** can easily be answered by some observations..

hope, this would help you..