Question

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

Answer 1

Answer: 4.8

Explanation:

ABCD~EFGH

EF/AB=FG/BC=GH/CD=EH/AD=0.4

BC = 12

FG/BC=0.4

FG/12=0.4

FG=0.4*12=4.8

FG=GF=4.8

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Answer 2

Because quadrilaterals EFGH and ABCD are similar and have a scale factor of 0.4, therefore

`(EF)/(AB) = (FG)/(BC) = (GH)/(CD) = (EH)/(AD) =0.4`

Because BC = 12, therefore

`(FG)/(BC) =0.4 \\ (FG)/(12) =0.4 \\ FG = 0.4 * 12 = 4.8`

FG = GF = 4.8

Answer: A. 4.8