Question

determine whether the figures are similar.
explain your reasoning.

Explanation:

Step1: Calculate the side - length ratios

For the smaller rectangle \(ABCD\) (assuming \(A(1,3)\), \(B(4,3)\), \(C(4,2)\), \(D(1,2)\)), the length \(AB = 4 - 1=3\) and the width \(AD = 3 - 2 = 1\).
For the larger rectangle \(EFGH\) (assuming \(E(1,6)\), \(F(8,6)\), \(G(8,4)\), \(H(1,4)\)), the length \(EF=8 - 1 = 7\) and the width \(EH=6 - 4 = 2\).
The ratio of the lengths is \(\frac{EF}{AB}=\frac{7}{3}\), and the ratio of the widths is \(\frac{EH}{AD}=\frac{2}{1}\).
Since \(\frac{7}{3}
eq\frac{2}{1}\), the figures are not similar.

Answer:

no