The figures above are similar. The scale factor of quadrilateral EFGH to quadrilateral ABCD is 0.4. Given that BC = 12, find GF. The images are not drawn to scale. A. 4.8 B. 11.6 C. 12.4 D. 30
Because quadrilaterals EFGH and ABCD are similar and have a scale factor of 0.4, therefore [tex] \frac{EF}{AB} = \frac{FG}{BC} = \frac{GH}{CD} = \frac{EH}{AD} =0.4[/tex]
Because BC = 12, therefore [tex] \frac{FG}{BC} =0.4 \\ \frac{FG}{12} =0.4 \\ FG = 0.4 \times 12 = 4.8[/tex]