Rectangle A’B’C’D’ is the image of rectangle ABCD after dilation. What is the scale factor of the dilation?

The scale factor of the dilation is 3

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

so

Rectangle ABCD and rectangle A'B'C'D' are similar

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

we have

----> difference of x-coordinates

 ---> difference of x-coordinates

substitute

The scale factor is greater than 1

so

The dilation is a enlargement

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it