Solve for x: two thirds plus one third times x equals two times x
x equals one half
x equals five halves
x = 2
x equals two fifths

x equals two fifths

There are two main types of transformations:
a) Rigid Transformations
b) Non-Rigid Transformations

Rigid Transformations, as their name indicate, do not alter the size or shape. These include reflection, rotation and translation

Non-Rigid Transformations, do not preserve the size. The shape remains the same. This include Dilation. 
The question asks to find a rule which do not preserve the lengths of the sides of the Quadrilateral. So one thing is for sure. The quadrilateral has undergone non-rigid transformation i.e Dilation. Dilation involves both contraction and expansion. So the rule which will either expand or contract the given quadrilateral will be the right choice to the given question.