Question

Please help i will brainly Δdef and Δxyz are similar isosceles triangles.

Answer 1

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

$\frac{XY}{DE}=\frac{ZY}{FE}$  

substitute the values

$\frac{15}{10}=\frac{ZY}{6}$

solve for FY

$ZY=15(6)/10=9\ cm$

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

$\frac{15}{10}=\frac{9}{6}=1.5$

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