Question

select the correct answer. when rectangles are similar?

Explanation:

Step1: Recall similarity condition for rectangles

For two rectangles to be similar, the ratios of their corresponding sides must be equal.

Step2: Calculate side - ratios for each pair

For rectangle DEFG with sides 2 cm and 2.5 cm, ratio of sides is $\frac{2.5}{2}=\frac{5}{4}$.
For rectangle ABCD with sides 3 cm and 5 cm, ratio of sides is $\frac{5}{3}$.
For rectangle VWXY with sides 4 cm and 5 cm, ratio of sides is $\frac{5}{4}$.
For rectangle PQRS with sides 2.5 cm and 5.5 cm, ratio of sides is $\frac{5.5}{2.5}=\frac{11}{5}$.

Step3: Compare ratios

Rectangles DEFG and VWXY have the same ratio of corresponding sides $\frac{5}{4}$.

Answer:

Rectangles DEFG and VWXY are similar.