Question

is there a proportional relationship between the corresponding sides of each pair of rectangles? lesson 5 perform and describe transformations involving dilations 97

Explanation:

Step1: Calculate ratio for rectangle A - B

For the longer - sides: $\frac{5}{2}=2.5$. For the shorter - sides: $\frac{7.5}{3}=2.5$.

Step2: Calculate ratio for rectangle A - L

For the longer - sides: $\frac{6}{2}=3$. For the shorter - sides: $\frac{8}{3}\approx2.67$.

Step3: Calculate ratio for rectangle A - M

For the longer - sides: $\frac{4}{2}=2$. For the shorter - sides: $\frac{6}{3}=2$.

Step4: Analyze proportionality

Since the ratios of corresponding sides are not the same for all pairs of rectangles, there is no single proportional relationship between the corresponding sides of all rectangles.

Answer:

No