I have to show all work for the credit pls help

Part 1) The ratio of the sides is 1.5

Part 2) see the explanation

Step-by-step explanation:

Part 1) we know that

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

If  Δdef and Δxyz are similar (given problem)

then

substitute the values

solve for FY

When two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

The scale factor is equal to

Part 2) How you could verify that these two triangles are indeed similar.

Remember that

In similar figures the corresponding angles are congruent

so

If

m∠D≅m∠X

m∠W≅m∠Y

m∠F≅m∠Z

then

Triangles are similar