Answer:
Scale factor is
.
Step-by-step explanation:
Given the coordinates of
as:

And the coordinates of
as:

To find:
The scaling factor of the dilation to transform the
to
.
Solution:
First of all, let us find the distance between the vertices i.e. the sides of the triangle.
Distance formula:

Where
are the coordinates of two points between which the distance is to be calculated.



Now, let us find the sides of the
:



We can clearly see that, the sides of
are four times the corresponding sides of
.
Therefore, the scaling factor is
.
Please refer to the attache image in the answer area.