Answer:
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