Question

If ABC ~ DEF and the scale factor from ABC to DEF is 2

, what are the lengths of DE, EF, and DF respectively?

Answer 1

B

Explanation:

Answer 2

Answer: OPTION B.

Explanation:

For this exercise you need to analize the information given..

You know that the triangle ABC and the triangle DEF are similar and the the scale factor used to obtained de triangle DEF was this one:

`scale\ factor=2`

This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.

Based on the above, you can set up the following equationst:

`DE=2AB\\\\EF=2BC\\\\DF=2CA`

Finally, substituting the corresponding lengths of the triangle ABC (see the picture) into the equations, and then evaluating, you get the following result:

`DE=2(2)=4\\\\EF=2(4)=8\\\\DF=2(6)=12`