Similarities transformations​

B 1/3 then reflection across y axis then move figure 2 units to down and 1 right.

Step-by-step explanation:

The figure ABC is bigger than FED so the scale factor is less than one since we are going to ABC to FED. Let look at corresponding sides, AB and FE. AB distance is 3. FE distance is 1 so let divide

The scale factor is 1/3.

The new points are at A'(-2,0) B'(-2,1) C'(-1,0).

Then we apply reflection.

Since FED is in the 4th quadrant, we are going to reflect across the y axis.

That becomes using formula

(x,y) goes to (-x,y) when reflecting across yaxis.

A''(2,0) B''(2,1) C''(1,0)

Now we will apply the translation. We can simply just move the figure 2 units down and 1 unit to the right.