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Determine whether the figures are similar.

If so, determine the scale factor.

Ayes; scale factor = 4/7
Byes; scale factor = 1/3
Cyes; scale factor = 2/7
Dno

Determine whether the figures are similar. If so, determine the scale factor. a. yes; scale factor = 4/7 b. yes; scale factor = 1/3 c. yes; scale factor = 2/7 d class=

Verified Answer :

The answer is c. yes; scale factor = 2/7 

The figures are similar if:
\(\frac{a_1}{b_1} = \frac{a_2}{b_2} \\ \\ a_1b_2 = a_2b_1\)

a1 = 4
b1 = 7
a2 = 14
b2 = 24.5

\(a_1b_2 = a_2b_1 \\ \\ 4 * 24.5 = 7 * 14 \\ 98 = 98\)

The figures are similar, now let's find the scale factor:
\(\frac{a_1}{a_2} = \frac{4}{14} = \frac{4:2}{14:2} = \frac{2}{7} \\ \\ \frac{b_1}{b_2} = \frac{7}{24.5} = \frac{7:3.5}{24.5:3.5} = \frac{2}{7} \\ \\\)