Answer: I and II.
Step-by-step explanation:
By definition, two solids are similar if their corresponding sides are in the same ratio.
Knowing this, let's find which solids are similar:
Corresponding sides ratio of solids I and II:
[tex]\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]
Corresponding sides ratio of solids I and III:
[tex]\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}[/tex]
[tex]\frac{2}{3}=\frac{2}{3}=\frac{5}{8}[/tex]
Corresponding sides ratio of solids II and III:
[tex]\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}[/tex]
[tex]\frac{4}{9}=\frac{4}{9}=\frac{5}{12}[/tex]
You can observe that the solids I and II are similar.
