Triangle ABC was dilated and translated to form similar triangle A'B'C'. On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).

What is the scale factor of the dilation?

One-fifth
Two-fifths
Five-halves
5

Dilation is done by the scale factor of Five-halves.

Step-by-step explanation:

Please refer to the image attached,

The graph clearly shows the triangles ABC and A'B'C'.

Let us calculate the sides of triangles first then we will be able to find scale factor of dilation.

Using the distance formula:

Distance between 2 points is given by formula:

PQ =

Side AB is along x-axis, side AB =

Similarly side, BC = 2 units

Now, in A'B'C', A'B' can be calculated by distance formula:

B'C' = 5 units

The ratio of sides:

AB : A'B' = 2:5

So, scaling factor is or 2.5.

OR

Scaling factor is Five-halves.