Question

Triangle T was dilated to form triangle T prime. Triangle T has side lengths of 36 and 18. Triangle T prime has side lengths of 20 and 20. Which ratio is the correct scale factor? (Figures not drawn to scale.) StartFraction 5 Over 18 EndFraction One-half StartFraction 5 Over 9 EndFraction StartFraction 9 Over 10 EndFraction

Answer 1

Given : Triangle T was dilated to form triangle T prime. Triangle T has side lengths of 36 and 18. Triangle T prime has side lengths of 20 and 10.

To Find : Which ratio is the correct scale factor?  

5/18

1/2

5/9

9/10  

Solution:

Let say dilation factor is x

Then    original triangle * x  =  new triangle

=>    36 * x  = 20   and  18 * x = 10

=> x = 20/36   or  x = 10/18

=> x = 5/9   or x  = 5/9  

Hence Dilation factor is  5/9

correct scale factor  is 5/9

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