Answer:
A. 6m and 2m
E. 11.25m and 3.75m
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Verify each case
case A) 6m and 2m
[tex]\frac{6}{4.5}=\frac{2}{1.5} \\ \\6(1.5)=2(4.5)\\ \\9=9[/tex]
therefore
The legs are proportional
case B) 8m and 5m
[tex]\frac{8}{4.5}=\frac{5}{1.5} \\ \\8(1.5)=5(4.5)\\ \\12\neq22.5[/tex]
therefore
The legs are not proportional
case C) 7m and 3.5m
[tex]\frac{7}{4.5}=\frac{3.5}{1.5} \\ \\7(1.5)=3.5(4.5)\\ \\10.5\neq15.75[/tex]
therefore
The legs are not proportional
case D) 10m and 2.5m
[tex]\frac{10}{4.5}=\frac{2.5}{1.5} \\ \\10(1.5)=2.5(4.5)\\ \\15\neq11.25[/tex]
therefore
The legs are not proportional
case E) 11.25m and 3.75m
[tex]\frac{11.25}{4.5}=\frac{3.75}{1.5} \\ \\11.25(1.5)=3.75(4.5)\\ \\16.875=16.875[/tex]
therefore
The legs are proportional
