What is the rule for the transformation from the smaller polygon to the larger polygon

The correct option is 1.

Step-by-step explanation:

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.