A is the correct answer.
If you look at any one point on the smaller polygon on the x axis and multiply by 3 you the point of the bigger polygon. for example take to get from 2 on the y axis to 6 on the y axis for the bigger polygon you multiply by 3.
The correct option is 1.
From the given figure it is clear that the coordinates of smaller triangle are (1,2), (2,3) and (3,2). The coordinates of larger triangle are (3,6), (6,9) and (9,6).
We need to find the rule for the transformation from the smaller polygon to the larger polygon.
The relation between smaller figure and larger figure is defined as
Here, x and y are coordinates of smaller figure.
The rule for the transformation from the smaller polygon to the larger polygon is (x',y')=(3x,3y).
Therefore the correct option is 1.