The answer is c. yes; scale factor = 2/7
The figures are similar if:
[tex] \frac{a_1}{b_1} = \frac{a_2}{b_2} \\ \\ a_1b_2 = a_2b_1[/tex]
a1 = 4
b1 = 7
a2 = 14
b2 = 24.5
[tex]a_1b_2 = a_2b_1 \\ \\ 4 * 24.5 = 7 * 14 \\ 98 = 98[/tex]
The figures are similar, now let's find the scale factor:
[tex] \frac{a_1}{a_2} = \frac{4}{14} = \frac{4:2}{14:2} = \frac{2}{7} \\ \\
\frac{b_1}{b_2} = \frac{7}{24.5} = \frac{7:3.5}{24.5:3.5} = \frac{2}{7} \\ \\ [/tex]
