Question

select the correct answer. which rectangles are similar? a. abcd and pqrs b. pqrs and defg c. defg and vwxy d. vwxy and abcd

Explanation:

Step1: Find side - length ratios

For rectangle ABCD with sides 3 cm and 5 cm, for PQRS with sides 2.5 cm and 5.5 cm, for DEFG with sides 2 cm and 2.5 cm, for VWXY with sides 4 cm and 5 cm.
For rectangles to be similar, the ratios of corresponding sides must be equal.
For VWXY and ABCD: $\frac{4}{5}=\frac{5}{6.25}
eq\frac{3}{5}$, $\frac{4}{5}=\frac{4}{5}$ and $\frac{5}{6.25}=\frac{4}{5}$

Step2: Check options

A. $\frac{3}{2.5}
eq\frac{5}{5.5}$; B. $\frac{2}{2.5}
eq\frac{2.5}{5.5}$; C. $\frac{2}{4}
eq\frac{2.5}{5}$; D. $\frac{4}{5}=\frac{5}{6.25}$ (if we consider proportion), $\frac{4}{5}=\frac{4}{5}$

Answer:

D. VWXY and ABCD