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Triangle ABC is similar to triangle DEF.

What is the scale factor of triangle DEF to triangle ABC?

Triangle A B C and triangle D E F are drawn. Side A B is labeled 9. Side A C is labeled 12. Side D E is labeled 3. Side D F is labeled x.


3


1/3


4


1/4

Triangle ABC is similar to triangle DEF.

What is the scale factor of triangle DEF to triangle ABC?

Triangle A B C and triangle D E F are drawn. Side A B is labeled 9. Side A C is labeled 12. Side D E is labeled 3. Side D F is labeled x.


3


1/3


4


1/4

Verified Answer :

If we were to solve for the missing side :
 9  =   12
 3        x 
(12) (3) = (9) x
       36  = 9 x 
         9      9 
          4  = x
Missing side DF = 4

The ratio of the side of the triangles are 9:3 and 12:4
  Side length 9 is 3 of corresponding side length 3
  Side length 12 is 3 of corresponding side length 4.
    
The scale factor of these to triangles is 3 because triangle ABC is 3 times bigger than triangle DEF. 

:)

MissPhiladelphia

Scale factor compares the size of the first to that of the second. Since side AB on the first triangle corresponds to the side DE on the second triangle, AB = 9 and DE = 3, the scale factor is 3. So the correct answer is 3. Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.

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